{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic Linear Regression with Tensorflow-Keras\n",
    "\n",
    "> Divyanshu Vyas | Oil and Gas Data Science"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# y = a*x + b + noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 5 ; b = 2\n",
    "\n",
    "x = np.linspace(0,50,500)\n",
    "\n",
    "noise = np.random.normal(loc=0,scale=10,size=len(x))\n",
    "\n",
    "y = a*x + b + noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Y')"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "plt.plot(x,y,'*')\n",
    "plt.grid()\n",
    "plt.xlabel('X') ; plt.ylabel('Y')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ANN-Implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "from keras.models import Sequential\n",
    "from keras.layers import Dense"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = Sequential()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 ---> 4 ----> 4 ----> 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Create the ANN now. \n",
    "\n",
    "#1. 1--->4\n",
    "model.add(Dense(4,input_dim=1,activation='relu'))\n",
    "\n",
    "#2. 4--->4\n",
    "model.add(Dense(4,activation='relu'))\n",
    "\n",
    "#3. 4---->1\n",
    "model.add(Dense(1,activation='linear'))\n",
    "\n",
    "model.compile(loss='mse',optimizer='adam')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"sequential_1\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense_3 (Dense)              (None, 4)                 8         \n",
      "_________________________________________________________________\n",
      "dense_4 (Dense)              (None, 4)                 20        \n",
      "_________________________________________________________________\n",
      "dense_5 (Dense)              (None, 1)                 5         \n",
      "=================================================================\n",
      "Total params: 33\n",
      "Trainable params: 33\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/200\n",
      "16/16 [==============================] - 0s 1ms/step - loss: 22093.3789\n",
      "Epoch 2/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 21893.4199\n",
      "Epoch 3/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 21713.9531\n",
      "Epoch 4/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 21549.8965\n",
      "Epoch 5/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 21391.5820\n",
      "Epoch 6/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 21239.3242\n",
      "Epoch 7/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 21083.2832\n",
      "Epoch 8/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 20920.5586\n",
      "Epoch 9/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 20742.3105\n",
      "Epoch 10/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 20540.2285\n",
      "Epoch 11/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 20315.0059\n",
      "Epoch 12/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 20060.3379\n",
      "Epoch 13/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 19781.5996\n",
      "Epoch 14/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 19464.2773\n",
      "Epoch 15/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 19128.6621\n",
      "Epoch 16/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 18756.6504\n",
      "Epoch 17/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 18362.8008\n",
      "Epoch 18/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 17938.2734\n",
      "Epoch 19/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 17485.9707\n",
      "Epoch 20/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 17015.8574\n",
      "Epoch 21/200\n",
      "16/16 [==============================] - ETA: 0s - loss: 16080.236 - 0s 2ms/step - loss: 16521.9668\n",
      "Epoch 22/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 16001.4443\n",
      "Epoch 23/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 15465.8643\n",
      "Epoch 24/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 14924.0557\n",
      "Epoch 25/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 14340.6670\n",
      "Epoch 26/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 13754.7178\n",
      "Epoch 27/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 13161.7930\n",
      "Epoch 28/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 12553.0527\n",
      "Epoch 29/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 11936.5068\n",
      "Epoch 30/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 11322.1943\n",
      "Epoch 31/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 10702.5859\n",
      "Epoch 32/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 10091.9023\n",
      "Epoch 33/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 9477.7061\n",
      "Epoch 34/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 8857.6230\n",
      "Epoch 35/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 8263.6328\n",
      "Epoch 36/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 7675.1748\n",
      "Epoch 37/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 7097.7632\n",
      "Epoch 38/200\n",
      "16/16 [==============================] - ETA: 0s - loss: 4815.16 - 0s 2ms/step - loss: 6527.8496\n",
      "Epoch 39/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 5987.0815\n",
      "Epoch 40/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 5466.5488\n",
      "Epoch 41/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 4968.3335\n",
      "Epoch 42/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 4482.2422\n",
      "Epoch 43/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 4033.9370\n",
      "Epoch 44/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 3614.0510\n",
      "Epoch 45/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 3216.2666\n",
      "Epoch 46/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 2849.3384\n",
      "Epoch 47/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 2509.1208\n",
      "Epoch 48/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 2194.5957\n",
      "Epoch 49/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 1915.9231\n",
      "Epoch 50/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 1663.6293\n",
      "Epoch 51/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 1436.1116\n",
      "Epoch 52/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 1233.5500\n",
      "Epoch 53/200\n",
      "16/16 [==============================] - 0s 2ms/step - loss: 1056.2600\n",
      "Epoch 54/200\n",
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     ]
    },
    {
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     "output_type": "stream",
     "text": [
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "16/16 [==============================] - 0s 3ms/step - loss: 109.4893\n",
      "Epoch 196/200\n",
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     ]
    },
    {
     "data": {
      "text/plain": [
       "<tensorflow.python.keras.callbacks.History at 0x22b5182fb80>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(x,y,epochs=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loss = model.history.history['loss']\n",
    "epochs = list(range(len(loss)))\n",
    "\n",
    "plt.plot(epochs,loss)\n",
    "plt.ylabel('Loss'); plt.xlabel('# Epochs') ; plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "yp = model.predict(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visual and Statistical Evaluation of the Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x22b5401be80>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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5M9OnTwfg5MmTzJ8/nwkTJrB161aee+451q5dy29+85tmY1m3bh1qtZovv/ySF198sdlrwWCQe+65h7Vr17Jt27awNbTXX389n376aWjcJSUlWK3WZtssX76c6667jnnz5lFSUkJJSQlTpkxp83P84Q9/yMsvvxx6/NJLL3Hrrbe22O4Xv/gF77zzDuvWrWPPnj0MHDiQuXPnUl1dDcCJEydYuHAh8+fPZ+/evfzoRz/il7/8ZbN9dOXPlhBCCNFREm77uGuuuYYxY8bw8MMPh339t7/9LTfeeCP33nsvgwYNYsqUKTz77LP87W9/w+VydepY9957LwsXLiQzM5OUlBRSU1NZvnw5Y8aMoX///vz0pz9l7ty5/P3vfz+jc3nwwQfJy8vj9ddfD/v6ypUrefrpp0NjWLhwIffdd18oXMbHxwMQGxtLUlISMTExKBQKpk2bFprx3Lx5M7fccguBQIDDhw/j8/nYvn17qLb3+eefx2q1smbNGgYPHszVV1/NI488wtNPP90sdA8cOJCnnnqKIUOGMHTo0NDzPp+PH/zgB3z88cd8+eWXDBo0KOy5GAyGUPlBfHw8SUlJqFSqZtsYjUYMBgM6nY6kpCSSkpLQarVtfoY333wz27ZtIz8/n4KCAr788ktuuummZtvU19fzwgsv8Nvf/pbvfOc7DB8+nL/85S8YDAbWrl0LwAsvvED//v155plnGDJkCN///vdb1Ox25c+WEEII0VHqcz0A0f2efPJJZs6cyc9+9rMWr+3evZucnJxmgTEYDBIIBMjLy2PYsGEdPs6ECROaPfb7/TzxxBO89dZbnDx5ErfbjdvtJjIyMuz7H3/8cR5//PHQ48OHDzerBY2Pj2f58uX8v//3/7j++uubvbeiooITJ05w2223cfvtt4ee9/l8WCyWNsedlZXFn//8Z6Cx5GDlypXk5eWxZcsWbDYbTqeTSy+9FIDs7GwuueSSZjflXXrppTgcDoqKikLjPf2zaHLfffeh0+nYsWMHcXFxbY6rO8TFxXHFFVewbt06gsEgV1xxRYtx5Obm4vV6Q+cMoNFomDhxItnZ2UDj5zB58uRmn8OppRvQtT9bQgghREdJuL0ATJs2jblz5/LAAw+0mF0LBALccccdLF26tMX7moKaQqEgGAw2ey3cDWOnh9ann36aZ555htWrVzNy5EgiIyO59957W73B6s477+S6664LPU5JSWmxzbJly3juueea1dI2nQc0liZMmjSp2Wunz3ieLisri3vuuYecnBwOHjzI1KlTyc3NZcuWLdTW1jJ+/HhMJhPQGM5O7zbR9Nmc+nxrAX727Nm88cYbfPTRR3z/+99vc1zd5dZbbw2VBjz33HMtXg93Pk3PNz13+s9DOB352RJCCCG6moTbzoiNhfLys95NIBCgrq4Ok8mEUtnJypAzvFN+1apVjB07lsGDBzd7fty4cRw6dIiBAwe2+t74+HhKSkpCj48dO0ZDQ0O7x9y6dStXXXVV6GvvQCDAsWPHWp2xi4mJISYmps19Go1GHnroIR555BEWLFgQer7p5q7jx4+3GhqbvrL3+/3Nnm+qu/3Nb37D6NGjMZvNTJ8+nVWrVlFTUxOqtwUYPnw477zzTrNwt337dkwmE6mpqW2OHeC73/0uCxYs4MYbb0SlUnHDDTe0+562aLXaFufTnnnz5oV+wZg7d26L1wcOHIhWq2Xbtm3ceOONQOMvM7t27Qr1JB4+fHiLmwxPb9XWkZ8tIYQQoqtJuO0MpRL+W7d5VgIBgjodmM2N++wBo0aN4vvf/z5r1qxp9vz999/P5MmT+clPfsLtt99OZGQk2dnZfPLJJ6FtZ86cyR//+EcmT55MIBDg/vvvR6PRtHvMgQMH8s4777B9+3aio6P5/e9/T2lp6Vl/HX3HHXewevVq3njjjWaztCtWrGDp0qWYzWa+853v4Ha72bVrFzU1NSxbtoyEhAQMBgObNm0iLS0NvV6PxWIJ1d2+9tpr3HfffaHPy+Px8Nlnn3HPPfeEjnH33XezevVqli5dyi233MLJkyd5+OGHWbZsWYd/Ubnmmmt49dVXufnmm1Gr1SxatOiMP4uMjAw++ugjjh49SmxsLBaLpd1ro1KpQuUF4Wa1IyMjueuuu/j5z39OTEwM/fr146mnnqKhoYHbbrsNaJxlf/rpp1m2bBl33HEHu3fvDnXPaNKRny0hhBC9U62rlm9OfoPD5zjXQ2lBbii7gKxcubLF18mjRo1iy5YtHDt2jKlTpzJ27FgeeughkpOTQ9s8/fTTWK1Wpk2bxo033sjy5cuJiIho93gPPfQQ48aNY+7cuWRlZZGUlNShBQfao9FoWLlyZYubkn70ox/x17/+NdRGa/r06bzyyiuhFmBqtZpnn32WF198kZSUFK666qrQe2fMmIHf7w/dOKZQKJg6dSoAl112WWi71NRUPvjgA3bu3MnUqVO5++67ue2223jwwQc7dQ6LFi1i3bp13Hzzzc1ac3XW7bffzpAhQ5gwYQLx8fF8+eWXHXqf2WzGbDa3+voTTzzBtddey80338y4cePIycnho48+Ijo6GmgsK3jnnXf45z//yejRo/nTn/7UrF4aOvazJYQQomfVumrZWrCVWlfHV5MMp8hexO6S3VR5O97Fqacogh0pnuvj7HY7FosFm83W4h98l8tFXl4emZmZ6PX6LjleIBDAbrdjNps7X5YgzgtyDXtGd/z9a+L1evnggw+YP39+h76JEOcXuX69n1zDc+Ng+UE+yf2E2QNmMyJhRLPXal21HCg7wMjEkUTpo1q81+l14vE3lrVtzt/M1ye/JlgUZNnCZWg0GrQqLQaNodvG3lZeO5WUJQghhBBC9GGnhtLc6lxqXDXkVudiNTf2T28KpUX2InYV7yLaEB023G7K2URlQyW+gI8GbwNWs5Wv3F/x5qE30Wl0xEXEcc2wa3r03MKRcCuEEEII0YeFC6U51TkU1xUTCAaw6CwsGLKgzeALMDF1IjuLd3K8+jhJxiQi1BFEaaJw+pykRaVxccrF5/I0QyTcCiGEEEL0YaeHUrPOTIQmgjJHGeUN5dTr61l/YH2L4KtWqpvNxqaaUzFqjZTUlaBSqPD4PSgVSgxqAzMyZmDRt91XvqdIuBVCCCGE6MPChVKVQoVBY+CW0bdwtOpo2ODbP6Z/q7Ox+bZ8tEotFZ4KMsns4TNqm4RbIYQQQog+or2bwvJt+RjUBpw+JxadhRRTCimmlLDBN9xsrE6tI8WcwjDtMNJMaTQcbyDFlIJOreupU2yXhNsOkqYSQvQ8+XsnhBCd03RTmEqpwh/wh0LuqaE0MzqTvJo8bB4bOrUOt88NtAy+4ejVehYMXoBSocTr9TLSNJJ5g+ZJuO1NmtqTNDQ0YDB0X3sLIURLTSvhSZsgIYRoXbhuCLtO7qLeW49aqWZM0hgMGkMolAKkR6UTCAZCj1sLvuE0vae1x+eahNt2qFQqoqKiKP/vsrsREREoFIqz2mcgEMDj8eByuaRHai8l17B7BYNBGhoaKC8vJyoqKuxKakIIcSE7tfzg87zPqWyopMHbQJ27jlhDLN+UfkNZfRlF9iJyq3NZMGRBiz60TaH01NlYaBl8Tz9euHKH84mE2w5ISkoCCAXcsxUMBnE6nRgMhrMOyuLckGvYM6KiokJ//4QQQvzPqT1pm7ohvJf9HiqlCo1Kg9vvxqgx0uBt4IT9BG8fervNPrTtzca21wP3fHJOw+2qVavYsGEDR44cwWAwMGXKFJ588kmGDBkS2mbx4sWsW7eu2fsmTZrEjh07Qo/dbjfLly/njTfewOl0MmvWLJ5//nnS0tK6ZJwKhYLk5GQSEhLwer1nvT+v18sXX3zBtGnT5OvWXkquYffTaDQyYyuEEKdobTGGrIwsxiWPY3/pfmxuG5UNlUTrowkEA4xNHovD7SA+Mr7TfWibjlfrruWfR//Zogeuwg+62rNbxrc7nNNwu2XLFn7yk59w8cUX4/P5+PWvf82cOXM4fPgwkZGRoe3mzZvHyy+/HHqs1Wqb7efee+/ln//8J2+++SaxsbH87Gc/48orr2T37t1d+o+jSqXqkv2pVCp8Ph96vV6CUS8l11AIIURPa2sxBo/fw8m6kySbkim0FeLxezBqjXj8Horqirh2+LWkmlNb3Xe4soOm4xXaCtlXuo9xKeNCx4s5Wc2MJ97k0pO1cO21cB79W3hOw+2mTZuaPX755ZdJSEhg9+7dTJs2LfS8Tqdr9atJm83G2rVrefXVV7n88ssBeO2117BarXz66afMnTu3+05ACCGEEKKHTEydyOb8zWwv2s6oxFGNq4T9tydtmiUNk9ZEQmQCaqWawtpCAgQ4WnmUEkcJxXXFpEelt7rv08sOnF4nQ+OG8k3JN5y0n0SlVOH1ezGrIhj4l38w9W+bUbsbv832P/UUPPpoT30M7Tqvam5tNhsAMTExzZ7fvHkzCQkJREVFMX36dB577DESEhIA2L17N16vlzlz5oS2T0lJYcSIEWzfvj1suHW73bjd7tBju90ONH7V3BVlB+1pOkZPHEt0D7mGvZ9cw95Nrl/vJ9ew8xIMCVhNVkrsJaRFphGljSIYDKJVapnZbyYmnQmP30Odu46RcSNJM6ex8dhGSutKKaguYFDUIOB/S+qeWuZwtPwolQ2VHC0/SpIhiY3HNmJz23D73NQ6a4mJiEHz9R7mvfgC1oKaZuNSPvkk3kWLYNiwbj3/jv6sKILnSSPJYDDIVVddRU1NDVu3bg09/9Zbb2E0GklPTycvL4+HHnoIn8/H7t270el0rF+/nh/+8IfNwirAnDlzyMzM5MUXX2xxrBUrVvDII4+0eH79+vVERER0/ckJIYQQQpwhd8CNL+gDYJdtF1tqtmBSmbAarHgDXowqIzNjZxKpaizp3F67HYfPQSAYwBVwYVAacAac6JV6lAolZrWZyVGT2VG7A7vPHtouQhVBg78BvVJPQ6ABh8+BQWWgxlbIrRuPc83WkyjDpMaG+Hh233cf1cOHd+vn0NDQwI033ojNZsNsNre63Xkzc7tkyRL279/Ptm3bmj1//fXXh/48YsQIJkyYQHp6Ohs3bmThwoWt7i8YDLZ6F/uvfvUrli1bFnpst9uxWq3MmTOnzQ+rq3i9Xj755BNmz54t9Zq9lFzD3k+uYe8m16/3k2vYce8dfQ9bgw1/wE9sTCwT4yYSCARINadS46pBq9KyYOoC9Go9AKPrRrO7eDfHa4+TEJmAWWfG7rZTXl9O/6j+jE8ZT6opNbTdoYpDuHwuhscPxx/0h7YbFDuI468+y/Tf7SW6oq7FuIJKJcevuILkv/6VydHR3f45NH3T3p7zItz+9Kc/5f333+eLL75ot8NBcnIy6enpHDt2DGhs0+XxeKipqSH6lA+2vLycKVOmhN2HTqdDp2vZmFij0fToX7CePp7oenINez+5hr2bXL/eT65h+y7pdwk7i3dyvPo4GTEZjEgagcPjoMxRxqjkUYxPHo/JYAptnxGTQXRENOsPrEen1hEggE6tw6gzcvnAy0NL6jZtt7d8L0V1RcQb40k2JmPUGZltHIl+yf2M2vBu2DE5hw9G89dXOFheTr/o6B65hh09xjntPh8MBlmyZAkbNmzg3//+N5mZme2+p6qqihMnTpCcnAzA+PHj0Wg0fPLJJ6FtSkpKOHjwYKvhVgghhBCit0g1pzIjYwYGjQGVQoUv4EOlUGHQGJiRMQOrxdrqe/Nt+RTZi8i35Td73ul1YnPZGluH1VdSVFfEofJDHK3IZuA7n2McOxFtmGDr1arZ9KMsPnnzcWpHDKLeX4/T6+zqUz4r53Tm9ic/+Qnr16/nvffew2QyUVpaCoDFYsFgMOBwOFixYgXXXnstycnJ5Ofn88ADDxAXF8c111wT2va2227jZz/7GbGxscTExLB8+XJGjhwZ6p4ghBBCCHGudcUqX/m2fAxqA06fE4vO0up2OrWuzSV138l+h6+KvsIT8ODwOBibNJa0knoWPLiWgQdPht1n0cVD2PSzqwkOHIC9Lp/CQyVk12SjPa5l0YhFZ3Q+3eGchtsXXngBgKysrGbPv/zyyyxevBiVSsWBAwf429/+Rm1tLcnJyT+JoqEAACAASURBVMyYMYO33noLk+l/0+/PPPMMarWa6667LrSIwyuvvCIN4IUQQgjRY9oLr2e6yletq5ZdJ3dh0VsYFhc+rJ6uvSV1k43JFNmKqHXXMrffDK5+7yiDXngbldfXYl++aAv7fnELH14Sh9vvYbjOSIQmgmJ7MWaNmQkpEzp8Lj3hnIbb9ho1GAwGPvroo3b3o9frWbNmDWvWrOmqoQkhhBBCdEq48NraqmJNq3w1teVqb78Hyg8wq/8sRiWOAlqG1XBOf83tc2Nz2fAEPJQ5ykABGYeLueXhP5BcWB12H9lzxsEzzzCw/2jc239HQW0BMYYYko3JGNQGRhpHkmpqfXGIc+G8uKFMCCGEEKI3ai+8bsrZhN1tD7uqmFqpJi4ijmuGXdOh/ebV5JFuaVyIoSOh+HSbcjbxce7H2N12lPY6bn/jAPM+zQ/b3iuQ3o8dD/6Qf2a4Gekrwm+P4aT9JIX2QrQqLTa3jUh1JJ6Ap1Nj6AkSboUQQgghzlBbS+KqlWoUKIiPjOdg+UHcPjcp5pTQqmL9Y/pzccrFZ7Tf1kJxWyamTqTaWU3931/npj/vIKa65Y1gAaWCfTfOZNftV2JX+6mtLuMfR/7Bu0fepcheRHxkPInGRGwuG6WeUsrrys/oc+tOEm6FEEIIIc7QxNSJoTZdScYkzDpzi/Bq1BrZXby7+Vf6/+100NSWC/5Xs9vP0o9gMBjaT2v77axUh4IfPPIumvc/D/u6f+xoKp55nMPRNXyV9znRhmhGJI4gpyqH3OpcJqZOZEzSGDQqDWWOMmJ0MRypOUKtq5Z4TfwZf4Zd7Zy2AhNCCCGE6M1Ob9Pl8XtweV0U1RUxLG4YRq2xRbutI1VHcHqdLVpoNdXs7inZQ4GtgP7R/Zvt99T2X6nmTtS5BgLwwgswbBia9//V4mWXTsWWJQtwfPEZSdPn0z+6P4W2Qo5UHsHj8zAyYSSR2khGJY3CpDOFxjEgZgDlnnKK7EVn+zF2KZm5FUIIIYToAk1tuvJq8yiyF/GPI/8g1hCL0+vE5XcxNmkserUem8tGRX0FWwq28N0h38Xj9+D0Otlfup8SRwkV9RX4gj4OlR/C7rZTVl9GpDYSf8Dfov1Xu+3FDh+G22+H7dvDjrnokhG89ZPpxAwfT7q3DputnkPlh6hyVuENeNlTsoe4iDhcPhe51blE6aOo99Zj1prJr82n3l/P8Zrj9I/tD5xZLXBXk3ArhBBCCHEWdGodsRGxWM1W0qPSef/I+5Q4SojWRxOpiaS8vpxL+11KYmRiY1h1lJERncGk1Emh2tpdxbuodlajVWmxu+2YdWYOlx+mzFHGpLRJJBuTGRI7pEX7r1bbi7nd8PjjsGoVeL0txuyMMvLvpd+l8IpLMSpVZFdk8/XJr7G77dR76tGpdBi1RiobKimyFWHz2BiZMBKzzkyZo4wyRxlOk5M4TRy5NbmUHyg/41rgribhVgghhBDiLOjVetQKNSWOEk7YT6DX6JmVMYs6Tx31nnoOVxymyllFtD469JX+rMxZWPQWhriHkH0kG4veQoQmArvbjkVnwe13ozQocfvdDIodxJWDryTVnEogGAi19ILwHRr0/9mJ7q4lcPRo2PHmfncqx351B7UR4PxvDe/4lPHsK93HtsJtoIXJ0ZNRKBSUOkrRGrVMTpvMlYOvBGBn8U5yqnOIN8TToGkg0ZhIlbPqjGuBu5qEWyGEEEKIszQpbVKLG8si3ZHk1+Rj0prQqXUU2YtarCwWCAYg2Ph/nVqHq96FWqHGF/Bh0VuoclYRHxHfWLvrsqFVaVvtpFBZnMOUP77HsH9sDTtGf/9MNi5bQMO0S9CoNKj8XoIE0al0DIwZyKCYQdhcNg5VHCJIkGAwiE6tY0T8CG4YcUPo5jej1khJXQkq5X+XAlaqwt4gd65IuBVCCCGEOEup5tT/hb5TbgAz6UxMy5hGijEltLJYeUM5Lp8LXI0zr7XuWgprC6lyVlFWX4Y/4MegNhAXGUd8RDx5tXmsP7A+9LX/6R0alCgwvf8RV/7xI4zVjpaDU6ng5z/H8Yt7OJnzD2ynLOFb76lnb+lerBZraOa3yllFeX1jiy+VsvXVXgtqC6jyVjV2gYiI6ZbP9UxIuBVCCCGE6CJOr5N9pfvIiM4AwKKz8J2B3yHaEA00riy24fAG3j/6Pg3eBurcdSREJLC7eDd2tx2TxoRGpSEmIoYBUQPQa/WkmFKocdaEvvY/NUibymq56NEXGLDtUPgBXXwx/OUvMHo0Op+LFHMK/ZX9STGnUFBbwPai7dR56sitziU+Ip6YiBhGJ41mWOwwAHJqcrBGWZvV+erUOlLMKQyKHkRCeQKZqZnU++tbXQq4p0m4FUIIIYToAjq1DrVKjUqpYlzyOLRKLTaPrUX3gKYShvey30OlVKFRaUiITCDWEEuEJoL0qHSOVR0jqAgyJnEM/oAfl6ax28LxmuNEaiNxueoZsv5jLn3xA3TOlquEBSMjca54kN0LJzMyJZ0oGmuDFwxewHtH3mNH0Q58AR8x+hgsektogQilQsmohFFcO/xa4L9lEzRfyrdpP36fn/pD9UxPn45KrWpzKeCeJOFWCCGEEOIsnLpUrtVspbKhEqfXyaSMSQSCAYLB5uvbNs28ZldkU9lQSWVDJTGGGALBAGOTx1LhqMCsM6NT6yiuKw7V6RbXFbOreBdJeRXE3HM/M/fnhB1P3pThfPPQ7fQbeRm7CrcSbYwLdVJQKpTNyhqSTcltLhDRWmBVKpT48be73bkg4VYIIYQQ4iyEu8HrQNkBthRsId2STj9Lv7DtsaL0Ubj9bgpthXj8HoxaI2qlulmdbrIpmWNVx7B77BSXH2fcc+8w4K0dKH3+FvuzRRl4/qahfDtzFBl6Gzuz30Gj0jTrpKBVaVutDz6fbgo7GxJuhRBCCHHBa3cxhDaEW4K3yllFbnUu6ZZ0JqZObPGeprpVq9mKWqmmsLaQAAGK64qJNcSG6nT/kf0PKhsqif/6ENMff53oosqwY9g+9yI23T6DrY6DWNy16OpKSIhMCHVSKK4rDtuHNv+Um8tOXyCit5JwK4QQQogLXquLIXRA00xoQW0Bbp+bmmANlfWVeAPeFm28mupvm+pWPX4PfvxcZr2M9Kh0CmoLmtXpTjIMwvvgH0nf8O+wx65Mi2X1D4dyYuwA/IEaEiISiNBEYLVYyYjKaLXkoClcD9MOC3VxOH2BiN5Kwq0QQggh+rxwM7On1sqGWwyhs0vJHq44TEVDBSqFinpvPdH6aPJq8/jrnr9S5ihjVOIobhp9U2h7pUIZCrlNNauZ0ZkEggGUKODNN0m55x4oL29xLL9KSc09d/DCnGiqvNUk6cw0eBuwuW0MjRuKRqkJlRy4vK7GrgcWK5HaSIAWx02PSm887nlUO3umJNwKIYQQos8LNzPb2mIIrX2F3xadWsektEkU24tx+VyNN5EpIcWUElqhLNmUDLQM2qcHSmXhCbjrLvjww/DnMqIfX/76B/S7dD6a/C0M0yYyKmEUmdGZ5NbkUuoopbKhMlRykFebx7GqY2iUGobFD2t2c1mz4/aBYAsSboUQQgjRR7U3MzsycSQHyw82q5VtrWtAe1w+FwOiBzCr/yw++PYDIjWRBAniD/ip89QRFxGHw+PA5rKRXZHN9hPbW5ZA+HywZg08+CA0NLQ4hs8YQdWDP2Pvdyfg9zkoshfR4GtgSNwQxiaPBeCStEsIEuRf3/4LFSqSTclU1lfi9Dk5aT/J/tL9mHVmtEotFr2lUzPTvYWEWyGEEEL0SR2ZmZ2ZObNLugYU2YvYU7IHrUoLwCfHP8Hj9+D2u1EpVAyMGciBsgPkVueSW5NLRUMFQ+OGhoK27kA2+ruWwO7dYffvufI7aF/4M9vrdlLZUIY34MXpdWI1Wzlec5xSR2mz2Wa1Qs0nxz/B7rbj8rlIjkwGBbyT/Q4bj23ErDMzZ8CcDs9M9yYSboUQQgjRJ4XrYtDazOyZdA0INzNcZC/CordweeblOLwODpUfQqfRUe4op9pZTa2rFpPOxMXJF5NTnUN5RT4T//ohI1//BPyBFsfwJsaz6Z4ryLx1GSMS05hoV3TonCalTaLGVcO2wm0AJBmTACh1lKJVaZmQMiFsF4e+QMKtEEIIIfqkjvRzdf13Sdoz6RoQbma40FaIXq1Hq9Ji0VkYmTgSi86Cw+vgaOVRalw1XGK9hGRjMhGbv2T8o38lqrgq7P7dt9/Kp7fPYqfjCIGa41gt/TBqjUxOndzubHOqOZVFwxdhc9k4VHEotNKYTq1jRPwIFg1f1Ov72bZGwq0QQggh+rxTZ2Y1Sg3bT2znEuslROmjzrhrQFszw6nmVIbEDmFz/mYK7YUY1AZMOhNalZZIm5NRj/6O9Pe/CLtfe/80Nj/wf5wclUmDt6RFOYVBbWhxTm3NNlc5qyivb+y4oFKqOvvR9ToSboUQQgjRZ4Xr57q/fD8Hyg9gtVjDdyvoYNeA9maGdWod31Z/Gzr2gdL9pL+/lWteeoAIW8sbxtBq4YEHqLv7ZgJV+3G2UnowMmEkBysOtjvbrFPrsEZZudh7MQNiBgA0tgSLsvaJfratkXArhBBCiD6rqZ+r2+fG4/cwNnksta5a9pTuOauetqcLN4varJfs8eOk/fQPqD4NvxiDb8olOJ9bjfqikaRqDBhNsW2WHmRGZ7Y726xX67l22LUw7H+Bvak8oa+0/QpHwq0QQggh+jSlQtmlPW1P1d5KX0p/AJ55Gh5+GJXT2eL9bqOBLXdfQe7CLNT+fcTlnOzQ8rgdnW3uq71s2yLhVgghhBB9Xmc6J3RGmyt97d4NP/oR7N0b9r0Fsydy9KG7qbCocTrK6G9JvSCWx+1uEm6FEEII0ed1pHPCmbK77c1XHKtvgIcfJrh6NYpAy/ZetXFG3rjjMnTXfg+1UkEw6Gsxjr68PG53k3ArhBBCiF7t9OVs23MmPW3b0mxp38//07h0bkEBitO2CyoU7F04hR13LeDTyq/xH30fvUqPWqXmUuulLfZ7IZYUdAUJt0IIIYTo1ZqFyzbCbVd+1X/6Ag6ekiKiHrsbNm4Nu33twDT+sewKgpMnkqCz0M9bitvnZkzyGKL10WjV2mbjaCuwdzbMX2gk3AohhBCix9W6ajlUd4gprinEa+I7/f5wq4PlVudi0po4XHGYMUljMGgMzUJgV37VvylnE4W2QgprC8janM89L3yE3t6yvZdPq+Y/i2ez+8YsdlbuI7H8IJdaL+XilIuxuW1cf9H1WPSWFuNoK7B3NMxfqCTcCiGEEKLHFdmLyHHmUGQvIt7U+XDbWveDXcW7OFp5lCn9pnB5/8tbhMCOftXf3uzoxNSJ2A/uZsaKVxl1uDLsPkonDOPwyqWUpJior8nHpDWhU+sosheF7X7QWmC3mq04vY2dFgwaQ4vX4OxbmfUlEm6FEEII0SNODW/Ha45T76/neM1x+sf2BzoX0E7tfhBjiAmt2rWvdB/egBe1Us3+0v2UOErILs/udAhsbXbU6XXicdUTu/pFbnrsKVQeb4v3+qMsfLFkAWXfm49GrUXl92LSmZiWMY0UY0qrJRFttSvbX7YfgFGJo7q0lVlfJOFWCCGEEGetI3Wgp4a3OlcdcZo4cmtyKT9Q3umAlmpOxRf0sbVgK7m1uQT8ATwBD99Wf0tGVAaf530OQKQ2ko05G6l0VrZ7jLZmTqExGH/1zrOMfGgNlpyTYfexc2p/kte+zZHar7HZC5rduPadgd8h2hANhC+JaKtd2YSUCQDYXLYubWXWF0m4FUIIIcRZ60gd6KnhLdGYiE1jI9GYSJWz6owCWrG9mAJbQePxglBaX4rVYiXVlEqpoxQAq9lKUmQSTq+z3WO0NXNqcPqY+udNTF//IYpgsMV7axPMfLhsAc7ZMxlkHUBKoKjFjWunzhiH+2WgrXZli4YvAmD9gfVd3sqsr5FwK4QQQogz4vQ6KW8o53D5Yaqd1e3WgTYLb0oVvoAPlbJzAe3U2dUiexEqhYqMqAxmZszktf2voVVpGR4/nFpXLUGCDIkbglappcZV0+4xWps5jfjoc+Y+8x4RJS1ra4NKBd/eOI8vfjSb6ybdiklnQqlQtnvjWmu/DNS6a8mpzsGoMxKjjwnbrqyrW5n1NRJuhRBCCHFGNuVsYl/ZPg6WHyQjKoMhsUM6XAdaUFtAlbeKgtoCYiJiOnXMU2dXZ2bOxOFxsKNoBza3DYVCQUV9BVXOKgCK64oBOhQCT585VZaWMfXxv9Lv46/Cbl82MJnPf/V/5A+Ox6LTA/+7QS3cjWsdKXuorK+k1lXLRQkXMStzVova3I60MrvQW4VJuBVCCCFEpzSFtKFxQ/n65NfY3Xb8AT8mnYkgQaqd1QyNGxq2BKCp1+yg6EEklCeQmZpJvb++w71mw82u2t12imxFpEelMzZpLKMSR+EP+Akqglwz7BpK7CWhENih4BcIYHn1bWa+8CE6h6vFy36dlv13LcR+121ckjCIpA72y22t7CG/Nh+AWEMsJp2JFFMKsYZYovRRjE0ei1qpRq9uDM8daWV2obcKk3ArhBBCiE45NaRFaiKJj4inoqGCz45/BjTOUt414a6wJQBNvWb9Pj/1h+qZnj4dlVrV4ZZcrdWlmvVmfjzhx6Ebtn417VehsQyJHRIKgU3twloLfvqcfL635AXidh0KOx7HtMm8vWQmE6Zdz/TEUUDH++W2Vvbwae6nGLQGrGYrWpWWfpZ+rc6At9bKrCOzwhdKqzAJt0IIIYTolNNvDDtZd5JqVzWOBgcmrYnh8cPbfL9SocSPv9nj1rQ1C3l67emp+zn1zyV1Jewt3cvwhOGtB7+gCp58Et1vfoPO42kxjkBsDK4nH+OzKUnkl+4htiaPdEv6/97fgeDYWjAfHDeYdEs6pY5SEo2JZ9QJoa2b4S60VmESboUQQgjRKaeGNJ1Kh1lnJi4iDp1ax5jEMfjxn9GStk3am4UMBAOdWkb3rUNvsb1wO0PihhClj2oR/AYfrWT6Y6/B4cNh31+4YDpbln4XhyVIQ01ulwTHU4N5lD6Ky9IvY+O3G8+4E0JbbcQutFZhEm6FEEIIccaKHcUkGZNw+91YdBampk8NdQw4Ux2Zhbxq6FVt1p6eGpDNWjMo4KT9JFaLFZPOhEqpoqGihLkvb6P/m5vCDyQjA/70J1SXjMBUvJOC8oO4fW5SzClnHBybao5bBHNVYzA/004IbbURu9BahUm4FUIIIUSntRrS1LozDrZN9bVD4oagqFK0OQvZ3jK6pwfkS62X8kXBF+wo2oFWpWXS18Us/tMXGCtsLQeiVMKyZbBiBURGkgoYtUZ2F+9u7O5giCHZmHxGwbGp5vj0YO7xezo1G92WC71VmIRbIYQQQnRaayHtbGZsm+prZw+YzYyMGWc1C3n61/QqhQqzzoyvsIAl63MZt6Mg7Pt8Y0ezf+US+s9aRJQ+MjQDbHPbqKyvpKiuCK1Ki81tw6w14/Q6Oz0rGi6Yd8Xn2dYvHBcSCbdCCCGEOCPtzZ52hNPrpMHfADSvrzXrGoNjZUNl45/P8mv6YMDPlZ+dYP5L2zA0tLxhjIgIWLmSIzfMZEvB52jtRUTpo0IzwE6vE5ffxdiksejVemwuGxX1FWwp2ML1I67v9HmHc7afZ3f8wtEbSbgVQgghxDnz8fGPqXHXtKivLagtILcmlyRjElcPvbrFLGRHFypwep2Uf/05t/3pa9IOhp+t9c+5nPo//I5gRga5+Zub3cA2NG4oB8oOUOeuY2bmTKL0UZTUlbCvbB+T0yZzWb/LuuVzOVNd8QtHbyfhVgghhBDnzISUCewt3xu2vnZW/1lMSp1Eqjm1xSxkRxYq0PmCXLr2Y8b/7RPUvkDLDeLjYfVq3h+jp7L+a3wHtoe9gc2gNmDQGNAoNY0lCi4bJ+wnGOEZQaQ2sjs/HnEGLrw4L4QQQojzRqoplRkZMzBoDKH6WpfXRVFdEeOTx5NqTg1t6/a5KbAV8OGxD9lXui80w2pz2bC5bDi9TqBxttbx6Qdoxk9k0ksfhQ+2ixdDdjbceCMT0yYRHxmP0+skyZgU+s/pdRIfGc/4lPF4/B6OVB3hWNUxDpQfoMZZw/bC7WRXZDc7tjj3ZOZWCCGEED2mqZxgaMzQFq813eWfV5tHkb2I4rpi0qPSQ69vytnEvrJ9HCw/SEZUBkNih7TsN5s8g9IfX0fm3z8Je3xbWjz7H13C1B/+v9BzTfW5x6uPc6z6GJnRmeiUutANbDq1jtL6Uho8DZh0JtQqNUadkWJHMev2rWNY3DBiDbFcO/zaC2YVsPOZzNwKIYQQosc0lRMU2YtCz+nUOmIjYhkRP4KZmTOJN8SjUqooshdhc9korSultK6UoXFDcfvc2N12/AE/Jp0Jk86EzW0jPiKOaV+Xw7BhYYNtQK3iq5tnseWfa+h/7W1hx1bjqmFn8U6+KfmGz/M/p8HbeKObXq3n7gl3Y9AY+LbyW4LBIEmRSWRGZVJsLya7IpviumI25bTSL1f0KJm5FUIIIUS3Crfi2PGa47j9bmwuG5H6SNQKNSWOEk7YT6DX6JmVMYtCWyHrD6xnf9l+AEYljiJSE0l8RDwVDRV8dvwzAGIrG5jz9qdEfPRZ2ONXjxjIVyt+RH4/MzcOndesdVfT2Fw+F/6gn1h9LFG6KBxuB76Aj0CwsaTBarFyy+hb+MOOP1DvqScmIgatSosv6MNqsTI4bvAFtQrY+UzCrRBCCCG6RVMJQoGtAKfX2awjQm5NLnnVediybSSZkpiUNqnF8rGR7kjKHGVMSJlAg6eBgxUHGRQzCLPOTLWrmgZHHVf/u5jr1+9H52zZ3str0LH5x7PJ/t5MGoJuwjUSa2r11eBtQK/WMz5lPHtL91JWX4ZWpWXjtxuZmj6VY1XHGBQ3iMGxg/mi8AuULiX+gB+tWotBfeGtAnY+k3ArhBBCiG7RVIIwKnEUdZ66ZsFVq9RyJHiEhIgEJqZObNGXtsbZOLtr0plYNHwRhysOs6VwC6nGVMw6MxeVBrjq9xuxZp8Me2z33Mv5ZPlCjAOGcVUrCxrUumoJBoNEaCLYXrgdlVKFRqXB7Xdj1Bhx+pycsJ/g5W9eptBWyE8m/oQkU2M5glalpcHbgM1tQ62SOHU+kashhBBCiC4TrgTB4XEwLnkcx6uP4wv6GlccU6rQKXRMT59OnCmu2T7ybfnUOmvZV7aPEQkjsLlt5NXk0eBtIPfkQW79oJjJb2xF5W/ZBaE+xsSXP7uOgjkTiYmI5crMLCD8ggZF9iIKbAVMTpvM4LjBVDZUUtlQSbQ+Go/fw4iEETjcDjx+Dxa9hSJ7ETMyZgAQa4hlaNxQcmtyqfPUXXCrgJ3PJNwKIYQQoss0fc1/+qIMudW57C7ZjUKh4OKUi3G4HaH3NJUvpJnTsOgtWM1WShwl7CjawcGKg7xx4A2cXiez8hTc/PxGEkrsYY+ds3AGb/1gHERFc5ExoUUNrN1tZ9fJXQyKG0SULioUvvNq8tCpdGhUGuo8dXj8HiobKvH4PaGQmxmdGerMoFQoMagNpEelX7CrgJ3PJNwKIYQQostMTJ3YonY2QhNBka2I9Kh0xiaNZWLqRI5VHqO+oB6dWkeBvYBdxbvYXbIbg8aAzWWjwdvA/EHzOVxxmMNHtnL7m99y2WfHwh6ztl8Cu1fcwf6h0Rwp2UOGP3wNbJG9iPUH1tMvqh+JkYmh8F1oKyS/Nh+1Uo1epceoNQLgDXjx+D3ER8aTZEwKLS7RP6Z/s+Aswfb8IuFWCCGEEF3m9NpZj9+DSqHCrDfz4wk/JtoQDUC0NprSyFLcPndoBjXDkoFerSevNo9kUzLxhjgmbDnG+Kc+xWJ3tzyYRoPjviWsm5dIjcJJUfkhiuuKidRGYnPbAPAH/KiUKqCxTMKsN+P2ual2VhMfGU+0IZoITQRqpZp+Uf1wuB30j+5PelQ6h8oPsfHYRvRqfeg8mnrfys1j5y8Jt0IIIYToFk2LMjh9Tiw6S7MZzo+Pf8x/av9D7aFa3AE3VrOVGlcNChQcrjhMIO8489d+Q9LWb8Lu2zdpIuq1L/FB8BDfFm5Bq9SSaEokSh9FlauKd4+8i0FtIKc6h4ExA0NlEhfFX0SZo4yD5Qcxao0YNAZi9DGYdCbmDpiLSWcKjTPGEEOhvZDiuuJm5yHObxJuhRBCiD6sqZ51ZOJIovRRPXJMnVpHijmFYdphZLbSqWBCygR2a3bj9DlJMaeEyhcKKnK5+sM8rnp9F1qXt8W+fcYIDi27iSG/fga1NoJL7VFoVBryavJINCZi1pk5aT/JgfIDTLFO4XsXfY8ie1GzMgmAvaV7cflcaFVadpXsYmzSWKB5iYFOrSPVnMpw7fBWz0OcfyTcCiGEEH1YUzuuaEN0j4Vbl89FlC6K0UmjidJHhb3pKtWUykjjSKrV1aHyhdgjhVz+8F9JPHIi/I6vugr1H//IyNSU0L5SzanM1M5kvWN9aD917jrK6svoH92fCSkTGBQzqFmZhAIFJp2JeQPmYffYqXPX4Q/6cflc4AKtSotBY0Cv1rNg8ILQseTmsd5Bwq0QQgjRx4Rrx5VbnYvVbAX+F966S5G9iD0le4iNiA0Farvb3uoMclHZt2S9soVxb25GGaa9VzA5GcUf/wgLFwJwarSsddXynxP/we6yU1Zfhl6l53DFYRq8DeTV5DE8fjg2tw2v3xsqk9hVvAt/wM/JupMECTI1fSo2l40N2RtQK9XERcRxzbBrGo91WpCVYHv+k3ArhBBC9EJtlRu01o6ruK64RXjrKu0F6pyqnBYzyBqFhjEHKhi/8i8YTpSE3/Fdd6FYtQos4Wtdi+xFHCg7wLHqY0Tpo1Ab1ERqIzHpTRTaG5fvDQaDlDhKmDtgLpnRmaSYUthTugdvwEuaOS1UEhGuE4LofSTcCiGEhcuQ6gAAIABJREFUEL1QW+UGrbXjKnOUkWhMJBgMUuuq7dIyhXCBOrsim9zqXFRKFaWOUjQqTSjw+kpLufgPa8jYsjX8DocNg7/8BS69tMVLpwdph9fB5LTJRGgiyKvN4+LUi4k1xOLwOEKBdcGQBVgtjUE7PSqdy/tfzpsH32zW0UE6IfQN53RufdWqVVx88cWYTCYSEhK4+uqrOXr0aLNtgsEgK1asICUlBYPBQFbW/2fvzuPjLsv9/79m3yeZ7Ml0mqRNF9p0SfeWIpSWskkpokXBI+B+gAqy1C9y/IkeRAEVFRFQOCxiLYjsyFJAoKULNoXSdM++77Mks2+/P0JC05mkSZum2/V8PHhIZj7LnRmKb+7PdV/3OezatavfMcFgkNWrV5ORkYHJZGLFihXU19eP5q8ihBBCHHP+sB93wI074O43O9r7mj/sB3rqUJcULMGgMSSEt3G2cdS4a6j3jOz/T86zzyPTlEmHvwNXwIVZZ6bZ28yW+i3saduDRqnpmUHuOMC2e27EOHN20mAb1agJ/OR23Jvfwz9vVtJ7vVH+Bs/uepa1O9dS3lmOw+rAHXTT3N3M7rbdlLWWEYlF+gXW3mDbq7e8oNpdTb2nnmp3ddJ7uQIuNtRswBVwHd0HJEbNcZ25ff/997n++uuZO3cukUiEO+64g+XLl7N7925MJhMA9957L7/97W954oknmDhxInfddRfnnXce+/btw2KxAHDTTTfxyiuvsG7dOtLT07nlllv44he/SGlpKSqV6nj+ikIIIcSIGW65gT/sZ0fzDuxWO9F4FKvWSpWz6pjU4Pb2ty1tLKXGVUOaIY2JaRMJhAM4UhwUpBaQ0+pjyk+eJHdLWdJrNM8s4vXbLiMwwYG6/KUByycGmpmudlZj0VrQqXXUe+oHbd01lI4O8PkMuUqpIhqLjmrXCXFkjmu4feONN/r9/Pjjj5OVlUVpaSlf+MIXiMfj/O53v+OOO+7gS58VkT/55JNkZ2ezdu1avve97+F2u3nsscf461//yrJlywB4+umncTgcvP3225x//vmj/nsJIYQQx8Jg5QaH1orq1DrUKjUqpYpILII35KWlu4VQLDTiNbhNXU180vwJY1LG0O5tp76rHq1Ky5iUMTisDjQxBVMff43ih/+JOhBKOL/bqGbD9ZcQufZqtOFunIf8PofWFw+0UYRFZ+ELBV8gz5x32NZdg3VCSFY/vK1hG96wF7VSzcycmcd0QZ44OidUza3b3bObSFpaGgBVVVU0NzezfPnyvmN0Oh1nn302mzZt4nvf+x6lpaWEw+F+x+Tl5VFcXMymTZuShttgMEgw+PlOJx5Pzx7V4XCYcDixp95I673HaNxLHBvyHZ785Ds8uZ2u31+WIYvF9sXUu+qJx+P4Qj7i8ThapZbF9sWk6FPw+Dx9wSzXmEuLvgW72Y5epafKXUW6Lp0MQwZapZZWbyvjUsdRkl1yVJ/l2k/Xsrl+M+NSx+EL+5iZPROdUofT68Sycx9ffWgT42u7kp5bvqSEH19qInu8nVm+TiKxCAoUfb9POBymqqOKrXVbMavNFGcVAz3ffTQapaKzAoPGgD/cM0u7LH9Z3y5oeaa8nsAaVw74+0WJJvz82r7XaPO14Q/76Qp1YdPZKG0spdXbSo2rhv1j9nNx0cXHvOvEiW60/xwO9T4nTLiNx+PcfPPNLF68mOLinn9wm5ubAcjOzu53bHZ2NjU1NX3HaLVabDZbwjG95x/ql7/8JT/72c8SXn/rrbcwGo1H/bsM1fr160ftXuLYkO/w5Cff4cntdPz+vFEvuzp34Y150Sq0hOIhTEoTbzW+hUllYotrC56Ih1g8RiAWwKgy0hhtRIGCCn8FqepUJpsmEyGCL+LDnmZnR8UOdrBjSPfvjnRT468hV5eLTtUzI1rtrKapqwlni5OJxokoPUpCvk4ueuFDzntnN8p4POE6rala7vtSAe9NVeEOthDd9S+2H9hOjBhWtRVbow2tUgtAWVcZFf4KOis62WPZA0AsHqPR24hRacSis+AL+miMNfJ+0/t95x0pT8hDrb+Wj1wfoVAoUKPGF/MRjUc54DyAt9HLR9s/wqq2siB1wVHd61QwWn8OfT7fkI47YcLtDTfcwKeffsrGjRsT3lMoFP1+jsfjCa8darBjbr/9dm6++ea+nz0eDw6Hg+XLl2O1Wo9g9MMTDodZv3495513HhqN5pjfT4w8+Q5PfvIdntxO5+8vEAmgr9Rj1VkpSC2g2lWNJ+jhvHHnoVfrmdE1g9LGUipdlWSZsrDqrHiCHmrcNajdamwGG9nmbPxhP4W6QpZPXT6s7gBlrWU0VTXRqejEqDESjUVxZDoYpxrHhpoNBPQBJmwv5+o/byW9NXG2Nq5QsP2yBbx45Vy21n9MflYWceLkWHNI0aagU/XUwmo1WtxBN9FYlNRwKkv0S/AEPHRqOlEpVWQaM/npxJ/26zs7khssuANuHi59mHZ/Ox2+DsxaM7F4jJLsErrCXYxLHcfsvNnYLfYRud/JaLT/HPY+aT+cEyLcrl69mpdffpkPPviAMWPG9L2ek5MD9MzO5ubm9r3e2traN5ubk5NDKBTC6XT2m71tbW1l0aJFSe+n0+nQ6RLrbzQazaj+S3K07ydGnnyHJz/5Dk9up+P3p9FoWDllZV+IK8oo6hfqCtIKsBltrN25Fp1aR4wYOrWOVH0qRelFCfWoZoMZjXrwz/DgGtTarlo8YQ8FKQXo1XqqXFXkWnIxqo04glq+9Ic3OXtL8p61rYVZPPidmXTNmsq0zGlsbtyFRW/h7MKz0av0OANOrpx2JRadhaaupr76YnuKHavOikVn6akvTu2px9Vpj902uJqohnRTOhEiNHQ1EAlGMGvNaLVazEozy4qWScuwz4zWn8Oh3uO4htt4PM7q1at54YUXeO+99ygsLOz3fmFhITk5Oaxfv56Skp49n0OhEO+//z733HMPALNnz0aj0bB+/XpWrVoFQFNTE2VlZdx7772j+wsJIYQQo2Cou2b17sjV2zXgwqIL++pRh7OVbG+Xhq5gFxXOCiZmTMQZcKJAwe623XT42ln1Hx8r7n0JY3cg4fyIVs3zl09l8xVn4ldGsal1NHY14gw78Xf6GZs6FoPG0NfZQKlQDrhobLR60fZ2U3BYHaiVampdtcSI0djVSLoh/ZjeWxyd4xpur7/+etauXctLL72ExWLpq5FNSUnBYDCgUCi46aabuPvuu5kwYQITJkzg7rvvxmg0cuWVV/Yd+61vfYtbbrmF9PR00tLSuPXWW5k2bVpf9wQhhBDidKJT63oWY0XDnFN4Dp2+Thq6G9jetJ3ZebP7WlkN9RF+b5eG/R37cQfcqBQqMswZVDurGd8e4+q7nmf8J7VJz22cM5mnr1/MFkMHaYogC+wLyDHlkGvMZdPOTUS1UebmzcWsNQ/Y2eDQkD7Sku321ttNIRQNESXKYsdi8lPzqXHVDDhOcWI4ruH2oYceAuCcc87p9/rjjz/ONddcA8CaNWvw+/1cd911OJ1O5s+fz1tvvdXX4xbg/vvvR61Ws2rVKvx+P0uXLuWJJ56QHrdCCCFOS3q1nuKsYt6pfAelQsk5hefwacunvFP5Dtnm7GH1afWH/Zi1ZmblzuLNA2/ii/ioc9dhQsviv21g8ZPvoApFEs4LWk08eVUx/zormzitqFDh9Dtp627DG/LS4etgunk6ylwl0XiUktwSYvEY8YMWnw21F+3RGmi3N6VCmdAyrNBWOKK1vWLkHfeyhMNRKBTceeed3HnnnQMeo9freeCBB3jggQdGcHRCCCHEyeXg2tgqZxWt3lY+bf4Uq85KWUsZrb7WYW/ecHBJQquvFYDY1s2c++eHyK9L3t6Lr36Vpp/eRFXDi+T53UxMn4gv7KPN38bu9t1YdBbyzHk0h5qZnzJ/wJ67g/WiHcnP6uDd3pJ9NkMtAxEnhhNiQZkQQgghjt6hO5i5Ai5e2PsCr+x/hUgsQqYpc9ibN/SWJHT6OpmgyeHyv33MnBe2oEg2QTV2LDz0EFx0EQXAmvyJrCtbh01vQ6PSUBApoMZdQ35KPg2eBlI1qWSbsvFFfEk3ooBjFyyHu9ubOHnIf3oIIYQQp4h59nlkmjLxh/3kmHOYb5/PGOsYvCEvY6xjmJc3jxxzDv6wn0xTJvPs8/qd7wq42FCzAVfA1fea3WpnScESpv2nmp9ct465z29ODLZKJfzwh7BrF1x00ecvfxZEq93V1HvqqfXUkqpPZXH+YgxqA0qFMmGhmN06Oq21Dv2sev8a6LMRJw+ZuRVCCCFOEYd2GNDr9EzLmkZzdzPTsqdh0VkIR8N9QTJOnA01G/oWUiWtPW1qwnDDdVz0/ItJ7+mfOgnD43+FuXMT3huwZvazzR/aQm00dDUQioWOyUKxwRzvbgzi2JFwK4QQQpyCejsMOANOAGrdtdj0tn4dB+o99Wyq24RaqWZK5hQqOito6m7i5b0vY1GbyPz7yxju+Clatzvh+mGtmrevPovw6us5e8JECLgTangHqpkNRUPkWfKYaJzIiokrqO+qP64dCI51NwYxuiTcCiGEEKeQQ2dL97XvIxQNsWjMIiZlTGJv2146Ah0EIgEqOisobSyl1l3LeNt4/BE/GpWG+o/eJn7Dwxh31iW9R928ybxxy6X4xuayv/ZdDnRVY9VZ+9WpJmuvBZ93ILh4wsWoylXkp+QnbEQxWkarG4MYXRJuhRBCiFNIstnSc8edi1rZ83/525u20+pt5d4P78VmsDEnbw47W3fyXvV7pKnMXPDPHVz+wl40kVjCtaNpNj5Z8w3eX+wg25JD0O/EHXDT3N3M+LTx/RaDDdReq9eJ0IHgWHZjEMePhFshhBDiFHNoOOsNttCzkKrWXcuetj04UhycU3gOVa4q1Ju38tO1jRQ0epNf9L/+C9VvfoNdH8W//TF2tu7EH/bji/joCnUxK3cWKoWK5q5mDBrDYdtrnShOhJAtRpaEWyGEEOIkNdCj/2R6+7qatWYyjZl0hbvY17GPiapsvvXodua8dCDped4x2fj/8FsyLuvZGfSdT//GpvpN1LhryDJlkapPpc3bxnO7nuNAZ881pmdPl/Za4riRcCuEEEKcpA736P9gb5S/QWNXI8FIkE5/J0qUnLFhL994fhOZrnDC8VGlgk++toSi3/+VjPS8vnA8NXMqerUenUpHYWohdouddn87vrCPOXlzAHAH3OSYc7DqrBg1xgF72B7OcMK7EL0k3AohhBAnkeHsrHWwefZ5PPDRA1R2VpLjjvKLh3ezeHt70nu0TBrDa7etJDh9CkUmE9B/04MZOTPQq/UEo0GaupuIx+PUeepYPX81AGt3rh2R9lrDCe9C9JJwK4QQQpxEjnRnLbvVztXT/otP7vw+K5/cisGfOFsb1mupuflbaH54C+O66vp1Dujdqayys5Jccy5NXU10Bjrp9nVj0VqYkjal37WOtL3WkYZ3IXpJuBVCCCFOIgeHzGE9+t+1iwnf/hZnbNma9G3/0rPR/eX/KCocB0B+xvi+zgGugItKZyUluSU0dTWhU+n6Wn/p1DpmZs8kSrQvCB9Ney3ZFlccLQm3QgghxElk2DtrBQJw993wq1+hDifO1rqsWv7vG9NZeNvdLBw7rt97vZ0DessDersuNHY3kmPOIRgNkqJL4az8s7DoLH3HH017rSMO70J8RsKtEEIIcZwc7YKpwz76/+AD+O53Yd++pOd3XnEp/3flGfwnVImjqwF3oGcnMq1KC5BQHlDvqSdFn4LD6mBC+gSaupr6ZmUPDq9H015LtsUVR0vCrRBCCHGcHOmCqcPurOV0wpo18OijSc/vHpvD+7dfSe3sIhRhH0u1hdS6a1m7c23fo3/o2bK31l2LzWDDYXVQ665Fr9bjDXkJx8JcdsZlx3TTA9kWVxwJCbdCCCHEKBqJBVMD7qyFAv7xD1i9GlpaEk9Uq+G223Df+E3CzjL8Bz36NwVN/R79u4Nu/l39b/a07WGcbRzj08b3lQfYrfa+8oBjEWxlW1xxNCTcCiGEEKPoSBZMJStfSHj0X98A110Hr76a/Mbz5sFf/gLTp2MHzCmZSR/9L7AvwKAxUOuupdPfSae/k3AsTH5KPjmWHNRK9TEvDxgovHuCHv7T8B/peysGJeFWCCGEGEVHsmBq0PKFaBQefBDuuAO6uxNvaDL1LCi7/npQqRLePvjRv0Ft4OX9L+MJeNjdtpsaVw3+iB9nwMlL+14i3ZBOtimbVVNXHfPa12R1u9L3VgyFhFshhBAiiZHcHevgax26YMrpd1LprMSis/TNiLoCLrY1bGNCxgRSdakJ5QuugIsDHQeY16nHesMt8NFHSe8bvuh8/Pf/Gk3heAyHBNtkj/7frHwTi9bCe9Xv0dzdjFFtJBwJY1AZ8AQ9RONRMk2ZvF/zPlcUX3FUn8lQSd9bMVwSboUQQogkRnKWcKBrVburcfldlLWVUZJT0u/4tTvXMjZ1LNmm7ITyhY6OemY++iqWl3ZDJJJwP1+6lXduupT65QtQd20mo/xAQqlDskf/49PGU9pUitvvZltsG9F4lEJbIeFYGAUK5ubNZb5jPvPt84/q8xgO6XsrhkvCrRBCCPGZkZwlPPRaTd1NvLz3ZSxaC/F4HKPGiMPqoKm7icauRgKRAK3eVtxBN3ta92DVWwlGgnT6O8k0ZWLUGgEwfLCZr/z6RTIanUnve+DyJVSs+Q4efQx/dwvjrHkD9oY99NG/I8WBVWelsrOSPEse+zr2EVPHCEQCTEqfRLY5m6WFS0e1HZf0vRXDJeFWCCGE+MxIzhIeei2j2sjWhq34I37afe0Qh+k50/GFfZyVfxYbazdy53t3AqBRaTjTcSYt3S2UtZZh1poJtDTw/XXlnPnugaT3axuTxr//31eJfeEsNCoNqmj4iHvDqpVqwrEwBnVPkDeoDYRjYdSq0Y8N0vdWDJeEWyGEEKe93prYSRmTUHQoRmSWcJ59HhtrN1LeUU6WOYtOfydKhZIGTwMluT0lCO6gG4e1Z7Z0Tt4ctjdtB2BWzizMWjP7g/tx+ZxMf6eMG/5egcXtT7hPVK1i238t5ZXLp6EwGDAdZW9YnVpHvi2fiekTqfPU4Q15MelMOKwOgtHgcW3HJX1vxVBIuBVCCHHa662JPW/8eSwpWJIwSxgnjk6lw6Q1DfmadqudSCzCjpYdeBu8WLQWMowZPa21omFUShVVzioKUgoIRUNkGjMZbxtPjbuG+q56PGEPwfJ9/PyRbcz9tCPpPVpmFPHGrZehmT6TWFsZxKMUZxZjM9jYXLcZq9467DB6cC1u7wYNh/7vaJO+t2I4JNwKIYQ4LQ1UX2vVWfGHe0oHrDor/ogfb8jLJ82f4EhxDGtx2azcWby490UqnZUU2YrQqXRYdBb8ET8FqQUUpBb0m41s97Wzt30vsXCIazd0c/M/9mIIxRKu69WreHRVEe+cV4RWU0lxh5HC1EJcARd1njq2NW6j1l3L8qLl6NX6YX82vQF2oP8dbQNuWnGcxiNObBJuhRBCnJYGqq+tcdVQ4awg3ZDOuYXnUuOqYVP9JrpCXUNeXNYbnNMMaThSeratzTHnkGnMpCvUhV6tZ9m4ZWxp2IJeqSfNmEZlZyUbajaQuqeKu9a1MqM+nPTa78+08cS352ApnEzcVUVjdyM55hyKs4oBaO1uJRQNkaJPocpZRX5K/mHHezJI1vdWiGQk3AohhDgtDbYKf+m4pXT6OtlSv4VILEKaPg2NSsNbFW9R3lmOVWcddHHZwcE5VZ9KUVoRjV2NuAIuIrEIoWiobzbypb0v8eLHLxLwdHLt33az8s0G1ImTtXSk6vjjNybjvOAczs6ZiUalIduUTY2nhimZU/io4SNauluo76pngWMBUzKnHPFiuJHs8SvEaJNwK4QQ4rQ02Cr8pYVL6Q5194XfXEsuTr8Td8BNc3cz49PGD7q4bFLGJPbs3UMsHsNhdRCKhIgTR4ECnUaH3WxHp9ahVCiZZ5+H4d0NzPrff5HVkmSHMWD9+ROoWvMd9nZu57yc6Vh0FsKfdUOYnD4ZT8iDSWuiI9BBm68NjUJDjjnniBfDyU5g4mQm4VYIIcRpL9kqfLvVjkqhorKzkmAkSJ2nDl/ER1eoi1m5Pd0M/GF/0kf9sXgM4hCMBDGoDczImUE0FsUZcHLltCux6Cw9j9Xb2rDf/P+wP/100nFV5Oj4w7eKaZxeyJhQI63eVva17yPPkoc/4seoNmLVW8kwZJCfmk8kGqGpuwlXwIUz4CQSi6BWqofUMkt2AhOnCgm3QgghTluHW4X/TtU7lDaV4g17icfjqJQq2rxtPLfrOSw6S79H/U1dTXzS/AljrGN4df+rtHhbCEVC7FXuRa/WE46GyTBmAKBEAU89BTffDB2JnRBCagVPXmzn31+ZR7FjNsXmTELhEJ+2fso42zguKLqgb6z+sJ+m7ibqPHXo1Domp03mQOcBGroaerbLNWYO6bOQncDEqULCrRBCiNPW4VbhLxizgLK2Mtx+NxPTJ+IL+2jztxGOhck0ZfZ71P/MrmfYVLsJm8FGU1cT03Om0xBswB1wozf1dCzIs+ahr2mAG74Mb7+ddEytsybz0f/3LVpsAS5MzWf5uOVoVVo+qPmAhfaF5JhzSNWnUpJbglqpxhVw9ZVP2K12ApFA0hIIGLyWVnYCE6cKCbdCCCFOa4Otwh+fNp41i9awrmwdNr0NjUpDQaQAd9DNkoIlaFVa3IGe2VO1omdXr/LOcvRqPYFwgFk5s/CEPIyzjePM3HnkPvoMyp99DfyJmzFELCaCv7yLrP/+AV9UKrkoHuPFPS/y8r6X+2ZT81Pzk86m9tYOD1oCweC1tLITmDhVSLgVQgghBtEbDJPV5fY+yt/WuI1OfydqpZpWbytWnZUP6z7k4+aPyTHnUFIfxf71u2HHjqT3cK9YzjPfXsSi+csoVn7eU3b+mPnDmk1NNsZgJDjsWlrZCUyczCTcCiGEEIMYrC6391F+jqmnM0G7rx2bwYYv7MOkMaELhLn2hZ0sfWUdxBL7e0XsuQR//1vem2qgvqk0IXQOdTZ1sDG+fuD1IdfSyk5g4lQg4VYIIYQYxGB1uQeHz3xVPhvrNmLVWrFoLVzblM259z1HWmtXwjXjCgXvXDSZj667FFumE19nw2EXcA02mzrYGIdTSys7gYlTgYRbIYQQ4jCGsjtWraeWrmAXJmc3q/9eyeJN/0p6rejUKXz4P1fzamojBjXE/Z1kmjKxGWxJQ+dQZ1MHGuNwa2llJzBxspNwK4QQQnzmSHbm6g2f41PHseTdKub/7j/ou3wJx0W1GrZ/+2K2f30p3fEgU3VTaeluoay1DLPWjEFjIE2fhkVn6Rc6R3I2VWppxelAwq0QQgjxmSPZmUuv1nOJYjLK734f3nsv6TFt86fh/v09HDA4cXpqcVgdWHVWAD5p/oRAJIBWpWVb0zZKckoSzj/a2VSppRWnEwm3QgghTgsDzcoe1c5coRD8+tcof/5zCAYT3vZbDHz0w1VsW16MUVlNyBeiyllFQUoBoWgIBQosOgsXjL8AT8hDV7CLaDxKIBKAwMjtCjaU2d8jmbUW4kQk4VYIIcQp6+DANtCs7BHvzLVlC3znO1BWlvTee88rYdft30ab5yAn6KGlu4VsczYFqQV95QHbGrcRjUVp6GogTpyz8s/CHXDz/J7nR3xXsMPN/h7JrLUQJyIJt0IIIU5Z5Z3lbKjZ0Nd/9uBZWVfAxYGOA0zKmISiQzH0nbm6uuDHP4YHH4R4PPGmY8fi/f2v+be9HZveBgct4JqTN4dady1TM6cyPXs6eZY8tjdvJxwLM8Y6ZtR3BTuqWWshTlASboUQQpyUuiPdbKzdSIm9ZMAyg3/u/ic7W3dS565jTMoYjBojr+1/jfLOcrqCXdS6a7l50c0sKVgytG4CL78M118P9fWJA1Iq4cYb4ec/J6KOws61CQu4Ov2daFVaCm2F5Kfmk5+az7Jxy1hXtu647Ap2xLPWQpzAJNwKIYQ4KXWEO2hqaiLTkjlgmYFGqWGsdSx1njr8UT/ekJeGrgb0aj1mrZkUfQoVnRVYdVb8YT/tvvaevz+0m0BTE/zgB/Dcc0nHEpkxDfWj/4eruIidLR8zIX1C3wKuXEsuBzoO4Al5qPfU4w66+82OBiM9tbrHo5PBcHrgCnGykHArhBDipNE7KxsOh2kONqMIKhIeox8c2CZlTKIoVoS7wo0/7KfWU4s36OXjlo85O/9sCm2F7G7bTY2rhgpnBTnmHFZOXvl5NwGlBv78Z1izBtzuhPHEDHo2fnMZabf/nGJ7CfWtZX11q70LuF7Y8wLtvnbCsTD+sD9hdtSqsx63TgbD7YErxMlAwq0QQoiTRu+sbDAcpCnYxHzr/KSP0Q8ObFubtlLtqqY73E26IR0FClx+F1XOKlwBF2qlmrHWsSwdt5T59vnYrfaebgJ7dhM7dxl8uDnpWMLnnsN7P7qCd5U1TOvYg9WczqfNn9Lqa+0XuKdlT6OstWzQ2dFcS+5x3xVMeuCKU4WEWyGEECeN3lnZA+0HSNWkkm3KxhfxDfgYvdpdTYo2BY1KQ4oyhfPGnYc/7Gdj3UZi8RgmjYn8lHwUCgVLC5f2zFQGg/CrX6G8+26UoVDCGIKpFjb98MvsvWAOvogXV6eLF/a+wCv7XyESi5BpykwI3OcWnjus2dHRDLbSA1ecaiTcCiGEOGEcrtdq72P0elc9SoVywKB4aGCba5/L6+WvY7fagZ62V52BTmwGG56Q5/OZyg8/JPbtb6Pcuzfp+LxXfInKO66nTdGO31NPjjmHdEM6O1p2UNFZwfi08czInoFGpUkauE/E2dGR3AFNiBOBhFshhBAnjOH0Wm0LtdHQ1UAoFkoIiocGtlR9KvVd9T2zqQo1kXiEwtRCLp5wMR3RVCZBAAAgAElEQVS+DrwdjZhuvA3+/BeSRbqWLBMPf3sm+2fpsdb8gzMdZ2LQGFApVOh1eqZlTaO5u5lp2dOw6CyEo+F+gTsQCfSF7TRjGu9VvYdVbz1hZkePdgc0IU4kEm6FEEIcV8PttapT68iz5DHROJEVE1dQ31Wf9DH6wQFNp9Zht9qZop1Coa2QWbmz6Ap3kWnKRPXiS0y+848om1sSxhZVKvjgS7N58+sLqYt0oFVpmZM3h9l5s3n9wOvsaN5Bga2gZ0cxoNZdi01vS5iZPThsl7WWEY1HmZY1Db1aP3IfpBACkHArhBDiOBtur1W9Ws/FEy5GVa4iPyWfooyiwz5GT/rovb6O7lVXkfP6u0nPaZ40hke+NxvXGYUA6NBRnFnMl6d8GZ1ah1qlRqVUMSt3FsQhFA2xaMwiJmVMSqhbTRbgq5xV5KfkA7JZghAjScKtEEKI4+pIeq0eyWP03mP8QS++P95Pyk/vxur1JxwXNxoJ/PQO/r5Aw8eNHxLtLAdApVQRjoZxB92kkILD6qDd144/7OecgnOYnTcbo8aIQWNIqFuVzRKEGD0SboUQQhxXx6rXatLFabt24fv65aR/si/pOXWLprL7Z6s5+5yrGbP/FebGQ4xPGw9AubOcNn8br+5/FQWKw4bUgwO3bJYgxOiRcCuEEKeQw3UbONGNVDcBV8DFS3tfoqGroWdxGnrCP78T9a9/S3o4nHC832bhrR9cRPyKK5hrn4derefyMy6HMz4PqbF4jAZPA6VNpcMOqSMV4E/271eI0SDhVgghTiHD6TZwIhmpXqu9ta172vbwfs37aFVaXG+8RPSuJ9AcKE96zsalE/nHtfMIWI3cW3huX9BMVvrgSHFg1VmPKqQeTYA/Wb9fIUaThFshhDjJDbfbwIloJHqt+sN+nt/zPHWeOjbXbSba2c7tLzs58609SY9vzbXy8HdK2H5GKhYtTEktGNaYhxtSjzTAnwrfrxCjScKtEEKc5E6VxUpDWSTW+1h+ctrkhPfeKH+jp2ygYRvj3y7lJ/9sx+YOJhwXVSnZdc3FPLOyCKXRxBy1jpnZM4kSHdJMsT/ixxVwUZxVzPTs6UMOqUca4E+V71eI0SLhVgghTiLJai5Pp8VKvY/lzWpzv9f9YT+TMyajqK1j2X1bmFXakPT8yJzZ/POH51M11kKGSkcwGiRFl8JZ+Wdh0VmGNFPc7mtHq9JSaCskPzV/WLPMR9Ll4XT6foUYCcMKt/v27ePvf/87GzZsoLq6Gp/PR2ZmJiUlJZx//vlcfvnl6HQnxm4rQghxKkpWc3msug2cKJI9lq90VhKMBnEH3Jgw8ca+18h+8jkuevBFtP7E2Vq/Xg2/+AWK669HX/02C7QpCaUBnqBnwMVah47BHXSPWmnAUL9fWWwmRI8hhduPP/6YNWvWsGHDBhYtWsS8efNYuXIlBoOBzs5OysrKuOOOO1i9ejVr1qzhpptukpArhBAjZCg1l71GqtvAiSTZY/kKZwVVnVW497iZ2Bjggv99HMP2nUnP/6gkiz0/W80VF/5g0NKA8s7yARdrHa40wKDu6W17rIPlYN+vLDYToseQwu3KlSu57bbbeOaZZ0hLSxvwuM2bN3P//ffzm9/8hh//+McjNkghhDidDaXm8sIJF45It4ETUbLH8lqllopgGUv+vJ5JT76CIhJJOM+bZuEf3z8L7RVX8pUzLuvb6vbgUoChLtY6XGmARWs5psFyoMVosXgMd8B92PELcToZUrg9cOAAWq32sMctXLiQhQsXEgqFjnpgQgghegyl5nIkug0craN9LD7Q+ckey9v/s5f//dlLZLV5kl7rk0vmsv67yzBnO7h0wkUYNcakxw11sVayMURjUQBm5c7i46aPj2mwHOj7fWnvS7LYTIhDDCncHi7YulwuUlM//xfRUIKwEEKIoRlqzeWRLFYaSUf7WHwo5zfX7mL5Q28x5bWPkr7fZLfy3I3L8S6YTTgWZqI1b9CAeSSLtXpLA7Y1biMWjwEQJ37Mg2Wy71cWmwmRaNj/5rvnnnt45pln+n5etWoV6enp2O12duzYMaxrffDBB1xyySXk5eWhUCh48cUX+71/zTXXoFAo+v21YMGCfscEg0FWr15NRkYGJpOJFStWUF9fP9xfSwghTgrV7mrqPfVUu6uP91CAnsf67oAbd8Dd77F472v+sH9EzteptMx9/wDXXf3HpME2qlax77qv8u7zvyV85kImZ07mmyXf5JKJl6BX63EFXGyo2YAr4Op3nt1qZ0nBEgwaQ9L/cLBb7X3H9pYGLLAvYOXklayYtIKxqWMJx8LkmHP6/vKH/WSaMplnnzcCn/DghjN+IU4Xw24F9sgjj/D0008DsH79etavX8/rr7/Os88+y2233cZbb7015Gt5vV5mzJjBtddey+WXX570mAsuuIDHH3+87+dDZ4VvuukmXnnlFdatW0d6ejq33HILX/ziFyktLUWlUg331xNCiBPScDcAGK2V84M91g9FQ3QFu7hh/g0DjuGN8jeodddS667FZrAlPf8HOSuw3vQj5rzxRtJrNE0fx8d3fh//pHGoomEMgVBCl4ihzAofbjFestKAZeOWsa5s3QnRpeJUXEwoxJEYdrhtamrC4eipJ3r11VdZtWoVy5cvp6CggPnz5w/rWhdeeCEXXnjhoMfodDpycnKSvud2u3nsscf461//yrJlywB4+umncTgcvP3225x//vnDGo8QQpyohltTO1or5wd7LK5SqojEItR76vvGcGjonmefR627lvLOchY6FpJjzuk7Xx2Dues+wPzk3eBPnAEOG40E77qTFxcZcYe7MHjq+wW73sVirqCLV/a9MmBN7HD+w2Gg0o/jGSxHautiIU4Vww63NpuNuro6HA4Hb7zxBnfddRcA8XicaDQ64gN87733yMrKIjU1lbPPPptf/OIXZGVlAVBaWko4HGb58uV9x+fl5VFcXMymTZsGDLfBYJBg8PM+iB5Pz4KEcDhMOBwe8d/hUL33GI17iWNDvsOT38n6HUaJDvjzwSv/97Xuo93Xzr7WfeQYeiYIjsXK+SxDFovti6l31ROPx3H5XfgjfqLRKJmGTFq9rf3GUN5Zzta6rahRMyFtAjqFDpvORjASpMXTgk1rIxAJkLK7kpW/fY30PdVJ7xtZsYJ3L72UuV9eSXbde0zQTaIgtYBqVzWeoAdlXMlr+16jzddGnbuOna07mZkzk31t+6hz1aFSqsg0ZnLppEtRoeKCwgv6gmqeKa/nPxziysP+86GMK8k2ZjPBNiHh/qP1z9bRjP94Oln/DIrPjfZ3ONT7KOLxeHw4F77hhht49dVXmTBhAh9//DHV1dWYzWaeeeYZ7rnnHrZv335EA1YoFLzwwgusXLmy77VnnnkGs9lMfn4+VVVV/OQnPyESiVBaWopOp2Pt2rVce+21/YIqwPLlyyksLOSRRx5Jeq8777yTn/3sZwmvr127FqMx+YpaIYQ40W1xbcET8RCLxwjEAhhVRnxRH3qlHqVCiVVtZUHqgsNfaJi8US8bOjfgjXlpDDTSHe1Gq9DiMDhIVafiiXjQKDQoFUqcYSdqpZpILIJNayMWj+GNemkONtMd6Sbm7+K/17fyzY1u1LHEe3Wk6Nn1ve9TP38uaoUanVKHJ+yhLlBHviEfs9pMLB4jHA/TGmql0lfJjq4deKNeHHoHmdpM3BE3ubpcppimkK5NpzvSTY2/pu/84Tp0Bn20u1QIcbrw+XxceeWVuN1urFbrgMcNe+b2/vvvp6CggLq6Ou69917M5p5/ETQ1NXHdddcd+YiTuOKKK/r+vri4mDlz5pCfn89rr73Gl770pQHPi8fjKBSKAd+//fbbufnmm/t+9ng8OBwOli9fPuiHNVLC4TDr16/nvPPOQ6PRHPP7iZEn3+HJ71T8Dmd0zaC0sZRKVyVZpiysOiueoIdWbyvjUscxO282dsvILzAKRALoK/VYdVb0aj3vVL1DlauKxY7FpBvTebf6XZq6mkjTpzHZNBlHioM6dx1t3jacfifZpmzG6cdRtK2SS//4Bhktydt7vX/hFN7/3gWkZRfiDzWwY88O7v3KvbT4W2ipamFK4RSKs4oBeGnfS6h8KnKDuVTXV1NgLCAUCeFX+olFYkwrmsaVxVcCUNZaRlNVU7/zXQEXZa1lFGcVH7asYzjHis+din8GTzej/R32Pmk/nGGHW41Gw6233prw+k033TTcSw1bbm4u+fn5HDhwAICcnBxCoRBOpxObzdZ3XGtrK4sWLRrwOjqdLukOahqNZlT/gI32/cTIk+/w5HcqfYcFaQXYjDbW7lyLTq0jRgydWodZZ2ZZ0bJjtsBJo9GwcsrKvtnKaTnT+NvOv2HWmYkR44yMMwhHwzhSHBSkFmDVWbHoLFQ7q1EqlczR5rP0D6+R/+qGpNevH5PCE9ctouiSbzA+FqXaWU2dpw532E25uxxn0Ikn7KG2q5Zx6eMAmJk3k7LWMna17CLFkEIkFgEFtPpacVgdTM+Zji/qA6C2qzbh/BpPDZ+0fkKmJZNMS+agv3+Ls2XIx4pEp9KfwdPVaH2HQ73HsMMtwL59+3jggQfYs2cPCoWCyZMns3r1aiZNmnQklxuyjo4O6urqyM3NBWD27NloNBrWr1/PqlWrgJ4Z5LKyMu69995jOhYhhDiRjfYCp95g6wq42Fy3mUA4QHXw8zFMTJ8I0K+rQDweY9F75Vz+6FOYPIkLxkJqBW9/bQH/tzwDqyWDnFA3SpS4gi52t+2mI9DB058+Tb4tnwxjBrvbdvfrMXtu4bnUumpJN6Rj0VlIM6RR6axkrn0uBzoOsK1xW78uD3va9lDRWYFKqaK5uxmNSjPgpgxD3dlMCDH6hh1un3vuOb72ta8xZ84cFi5cCMCWLVsoLi5m7dq1fOUrXxnytbq7uykvL+/7uaqqik8++YS0tDTS0tK48847ufzyy8nNzaW6upof//jHZGRkcNllPU2xU1JS+Na3vsUtt9xCeno6aWlp3HrrrUybNq2ve4IQQpxOjnbl/NG2EKv31LOzZSd6jZ5ZubP6xtDY3Ui7r70vdOtq6rni3ueYsL066XU+mWDlt9dOYsriFaR2ltPp7+St8rfwR/y4gi4i0Qg6hY5aTy3eiBeL1oJCoaDeU88ix6K+HrMalYY0YxomjQlv2MvE9IlcWHQhvrAvocvDrrZdNHoaSTOkkWXKGnRThqHubCaEGH3DDrdr1qzh9ttv5+c//3m/13/605/yox/9aFjhdtu2bSxZsqTv59462KuvvpqHHnqInTt38tRTT+FyucjNzWXJkiU888wzWCyWvnPuv/9+1Go1q1atwu/3s3TpUp544gnpcSuEOC0laxnW6e/kPw3/GTCwHhxoj6SF2KGzmN3hbiakT6AktwSA+WPmEyfO+sr1GKJqpq19m6xf/wlVMHGrdq9Rw1NXFfPukkJQKdlSvwVnwIk37GVsylgAgpEgZ6SfQY2vBlfAhSvgItecy9Ssqezt2Ms42zjsVjuBSKAn6Gf0D/oGjQGbwZaw69vEtIkEwoF+5ROH7vbV+1lNypiEokMhO4MJcQIadrhtbm7mG9/4RsLrX//617nvvvuGda1zzjmHwZo1vPnmm4e9hl6v54EHHuCBBx4Y1r2FEOJUdehK/cauxkEDa3lnORtqNqBWqmn1tg77EXuyWcxdrbvYULuB/JR8xqaM5bIzLuMSdw6eb3yV1H3VSa+zdWE+911hRzemgLHmntZhte5aDGoDy8YtI8+SR3NXMwc6D5BmSKNZ0Ux3rJt4PE5BWgG17lp8YR9VziqmZE4BYFnhMkxaEzBwb+CDSziSlU8cvClDWWsZ2xq3cd7481hSsOSwWyILIUbfsMPtOeecw4YNGygqKur3+saNGznrrLNGbGBCCCGO3OFqQqOxKCplzxOuf+7+J9ubtrO1YSvF2cVkm7IT6lcHe8SebCOHDn8HFZ0V5KfkMz9lKvzwhyj/8AdSY4n9vbzZaay/eSXeC85lasd+6j31xOI9x0ViEXRqHcvGLWNK5hQe2/4YKqWKpu4m/HE/zoATh9WBSWMioA1g0Vuo9dSydufapGM/ONgmK+E4tHzCH/FjUBtwB90Jn6VVZ8Uf9tPua+/5e9kZTIgTwpDC7csvv9z39ytWrOBHP/oRpaWlLFjQ0y9xy5Yt/OMf/0jaO1YIIcToO1xNaHlnOUVpRURiETRKDTa9jZ2tO1GgwJ3iRq1Uo1PpEh7HJyttsFvtmLVmalw1BCNBnHEn7d52wrEwM0obyFm1FOrqE8YYVyiouOpCPrn+y7SpAlycfxYt3S1s926nwdMAQGegk1RdKlXOKuxWO+FoGH/Ej01vI6gJUpRTRKopFYvWwhkZZ2DWmukOdQ+pPCBZCYcv7GN95XpStCl9gffNyjd5df+rKFD0+yxrXDVUOCvIMeewcvJK2RlMiBPEkMLtwRsr9PrTn/7En/70p36vXX/99Xz/+98fmZEJIYQ4YoNtizsubRwluSVUdFZQ3lGOI8WBN+xlT8ceXAEX+an5OKwO1Ep1wuP4wWpxd7ftps3XhkqhQtPeyf+srWDRh68nPbajKI9Xb72UxikOqtu2MDF9IjqVDkeqA6vWilFr7Jm9VfSEzlpPLS/ueZFaTy2T0idxVfFVrHOtY8qkKSwcu5AX976IStGz3e9wygMOLVEwaowJgXd82nhKm0qTfpZLxy1lvn0+dqv9sFsiCyFGx5DCbSzJYyQhhBAnrt7Z1MrOSg50HqDQVohOqesX+va172N3+24qXZX4wj7MGjPtvnZq3DXUeeqw6W1JH8cnq8XVqXXMHzOfRncDU1/dygWPbMLQHUgYV0SrpuXm71F61RLyTenkRkPUe+rRqDSk6FO4/IzLWWBf0Bcmzyk4B6vO2jcb2xsmswxZTLNM44IJFxCI9dxnpNqfHRpOHSkOrDpr0vrapYVL+wVoCbZCHH9H1OdWCCHEycEZcLK9eTuBSIBUfSoapYZNdZtY6FjIrNxZvF35NrvbdmO32NGqtIxJGcMY6xj8ET/KuDLp4/hktbh6tZ5rjIuI3fQd1B9sTDqWujkT+OcPziOv5AvMHzMHhULB1rqtpBvTGWsdSzASJBgJkmHM6FuspVFq+s3G9obJ3j3mlQrlUbc/G47R7h8shBi+IYXbP/zhD0O+4A9+8IMjHowQQoij17uYLBAJEI1HSdenM942nlxzLrvadrG9aTuOFAdFaUVMzphMpbOSiRkT0Sg0dEe60Sg12C125uTNwRv2Hr7dVSgE992H8n//F2UwmDAej0nNI1dOYveFcyjJm8Szu57lkW2P9PSf1Zo403EmFc4Kmrqb+m3AAD1hMh6PU+2q7utkcKhktbMjXR4wmgFaCHF0hhRu77///iFdTKFQSLgVQojj7ODFZDa9DbvFTkt3C13BLmpcNbR4WyhMLcSqs2LT29Cr9VQ7q5mYMRG1Qk27t51YPIYv7GNW7izKWsvY3babiRkTE0ob2LIFvvMdKCtLOpbNiwv45ZezUWbnYIyF2NO2B2/IS427Bovewuyc2eSYcxJC88FhMnRQ6cKhYdIVcLG3cW/CQreRLg8YjQAthBgZQwq3VVVVx3ocQgghRsjBi8nyLHnsattFa3crroALi86CWWPmhb0v8Mr+VwhGgigVSjr8HXzc/DHeoJc4cWblzaK8s5yKzgo2122mpbuFaDxKqj6153G8xwO33gF/+hMk6VfuzrHx2Ldn82GxFavaQEt3C5mGTFwBF1q1ljxrHmn6NEw6E86AkzjxfqHZH/bzhbFfQKlQ8l71ewmlC4qYAuCINp04UocGWQm2QpyYpOZWCCFOMb2LyXoXQBWkFvS06Ao4WehYiFapZUfLDio6KxifNp5pWdPwhr1sb9pOmj6NmTkzyTJm4Qw4aXA3YFAbKEgt6CttsLz5b0yXzoOm5oR7x5QK9l11AVU3XYMl7kZR/iap+lRq3bXsaNlBJBYhw5RBtimbdn87L+97Gb1Kj1ql5kzHmX3XSdbKrLd0IRaPYdaY0UQ1VDorh73phBDi1DakcPurX/2K1atXYzKZDnvs1q1baW9v5+KLLz7qwQkhhDg6vQug1Eo1roCLYCRIuiWdaVnTaO5uZlr2NFJ0KRg1RqZlTQMg25TNRw0f4Qw46Q51MyNnBjnmHKIN9Zzx+4cY/+7HSe/lOWMcr9yyAtW8+WhUKlQBFRqVhlRDKnarnXZfOyqliuLMYlQqFf6Qn0gswszcmdj0NrRqbV/ZwWCtzFp9raRoU6jtrKXQWTjoQjchxOlnSOF29+7d5Ofn85WvfIUVK1YwZ84cMjMzAYhEIuzevZuNGzfy9NNP09TUxFNPPXVMBy2EEGJwhy6AenXfq2yo2cD+jv3E4jGcASfQs72tTW/DH/GjVWqBnkBs0ppo6m4iFA2Rbcxk3mufMPm+x9F1+xPuFTcYqP3hN3ny3DTCijimzwK1J+hBr9Zj0Vr40eIfUe+u57UDrzE9ZzoGtYFwNIw76OaKqVeQok/pV8N66Ozzwe23rp5xNbtbdnMgfoBsczZpxrTkC92EEKelIYXbp556ik8//ZQHH3yQq666CrfbjUqlQqfT4fP5ACgpKeG73/0uV199NTqdrB4VQojjSa/Ws6xwGZFYBIAscxZjrGPINmdzbuG5HOg4gC/kY9GYRUzKmESVs4oqdxV1rjpKckuYnj2dnS07KX33aS69536yP96f9D67ZuTx7x9dwR5rkOb2XUzKmERxZjH5qfk0djVi0VkIRUOolWrOyj+LWk8tjV2NSdtpDVTDemj7rTxLHpn6TN7e8jYqZf/gO5SNG4QQp7Yh19xOnz6dRx55hIcffphPP/2U6upq/H4/GRkZzJw5k4yMjGM5TiGEOGkNtnXtsfRWxVv96laXjltKd6ibjbUbUSvVzLXPZXnRcqBn9X9aSxqdvk4KbYXkG3LIfvphLrznn6jCkYRrB1LN/O3q2fx5ig9reCdjwmNYYF8ACqhwVlDhrCDdkE5BSgHbm7dT0VlBpjGTVH0q423jmZwx+bDttAZrv9Xb57bGVYNZZ5a+s0KIPsNeUKZQKJgxYwYzZsw4FuMRQohTzmiu6D9YsrpVT9DT7/F9b09coCc8Bt04179C9K4n0e/dl/S6pcuKee37S6hRe1G07aI71M3MnJlkm7PxhX1sqN6AQWvAYXWgVWn71cQqFUoMagP5qfmHbac1WPutsDqMTWtjvn0+EzImSN9ZIUSfYYdblUpFU1MTWVlZ/V7v6OggKyuLaDQ6YoMTQoiT1cGh8XBb1x4rg9Wt9j6+f2HPC32zuxFnB1/98wdM+ef7Sa8Xyh/Db/5rAq+Pi9DZ8i5ZpiwyjZl94d2kNWHUGJmYMZH8lHyau5vJNmcPvPkDh2+nNVD7Lb1az1zrXM7OPxuNRiN9Z4UQfYYdbuNJ+hkCBINBtFrtUQ9ICCFOBclaWR3PFf0DbRs7zz6P/zR8hPKFl1j2u5cwtrkSzo2rVHhXf5/XvjqbqtbNhFt2olaqsVvsZBgycAfdtHS3MDZlLDqDjlR9KovzF/Pa/tcGDNUjUaohfWeFEMkMOdz2bsGrUCh49NFHMZvNfe9Fo1E++OADJk+ePPIjFEKIk9BgraxGakX/UALi4baNtXviZK15FM2r/0p6vnPqeP59+9d409pKZ82/0Kq0WLVWorEo+zv206BuQKfSoVPruHHBjXT4Onqur+q5/kCh+niVagghTn1DDre9W/DG43EefvhhVCpV33tarZaCggIefvjhkR+hEEKchIZSEnC0hhIQB6xbjQMPPgi3346mqyvhvLBeS+RnP8X37atQtn5MTuPHGDVGPEEPY1LG0BXqQqlQolFryDRmMjVrKmNTxjItexqxeIxQNJQQqlt9rQQiAQgcv1INIcSpb8jhtncL3iVLlvD8889js9mO2aCEEOJUMtDs5ZE4klrehMf3u3bDd78LmzcnvUfH2fMp/ck3+cLZ38Cu1mM2ptLU1US+Kp8tDVtQK9SYtCZKckuw6qzMzJ5JlGjfbLBSoUwaqp/f/Twv73v5hCnVEEKcmoZdc/vvf//7WIxDCCFOaslKBA5XEnAkjqqWNxCAX/wC7rkHPmul1U9WFvz+96RfcQXLiCeE4lpPLU6/k65QV9+uZga1AZVSxaIxi9Cr9f2OP/T8+WPmH/NSDSGEGHa4jUajPPHEE7zzzju0trYSi8X6vf/uu++O2OCEEOJEMJTa1mQlAoO1sjpSR1zL+/77PbO1+5NvxsA3vwn33QdpaQAoUfS91RvSx9vGY7fY8Ya8mHQm8q357O3Yy87WnThSHKQZ0gYd+2iUagghxLDD7Y033sgTTzzBxRdfTHFxMQqF4vAnCSHESWyg2taRKBEYrmEHRKcTbrsNHnss+QWLiuDPf4YlSxLeOjjU94b0WDxGMBIkEAmgVCjxhX19mzQMp3Z2JEs1hBDiYMMOt+vWrePZZ5/loosuOhbjEUKIE8JQguvxbvd1cEDUKDVsqtvEQsfCngAej8Ozz8KNN0JLS+LJajWsWQP/8z9gSB5EDw71xVnFQE84P5rf+1iUagghxMGGHW61Wi1FRUXHYixCCHHCGEqAG412X8kkC4iftn7aVx6Q2uqB666D115LfoH58+Evf4Fp0xLeGkqoP5rf+1iUagghxMGGHW5vueUWfv/73/PHP/5RShKEEKesoQS4o6khPZpNDHoDYjASJBQNUZhWyIf1H+LxOon/7nfE/7AOhdebeKLZDL/8Jfz3f8NB7RwPNtRZ2aOpnZXNF4QQx9KQwu2XvvSlfj+/++67vP7660ydOhWNRtPvveeff37kRieEEMfJcIPrUGtIe0OtSqk6qk0MDi4PqHXX4t76AT96qhz73sbkJ1xySU9fW4ej3zgODde9ob6stYxgJEieNW/QWVmpnRVCnGiGFHQMKAIAACAASURBVG5TUvr/C+uyy6QPoRDi9DFYgBtODak/7GdP2x421GzArDMf1SYG/rCfyRmT+bRqKwsefIkLXixDFUuyPXpODjzwAFx+ORz0tG2gRXK9ob60sZQaVw1phjRyzbkJoV5qZ4UQJ6ohhdvHH3/8WI9DCCFOOEMJcEOpIe2tY311/6tsqttElauKbFM2JbkllLWWUeOqwaAxDGsB2hvlb6B9bwPn/+IpUhs6kh/03e/Cr34Fn226c7h62mgsikqpwh100+5tp76rHq1Kizvoxqq14g/7+8Kt1M4KIU5Uw665FUKI08VQA9zhfu4tH2j3teML+zBrzASjQfa07SEUDRGNR1k5eeXQF6B1dLD8rr9jWvuPpG/X5Rrp/sNvyfviV3tmgw8Zx0D1tOWd5RSlFeEP+wlEA5TklKBX63EH3LR523i/5n2uKL5iyL+3EEIcD8MOtyUlJUkXkikUCvR6PUVFRVxzzTUsSdIzUQghTjYjEeB661i7gl0scixie9N2VAoVXaEuMowZZBgzhraJQTwOa9fCTTdham9PeDusUvD3Lxbwzlfn8f+zd+fxcdX1/sdfs2+ZyWSZbNM0W5vuLd0LhS60BSpUATcoaFUUuChXBH5yVVTUihdUqKLiZbmCS+XigojV0rKktJS1LW26pc3SpNmbZDIzmX37/RETks5ka5Ym8Hk+HjwgM2fOOTNj6rvf8zmfz8LcAIYjz/ZaDR7oJrn52fOpddVS2VbJpQWXYtVbcQVcNHU0kZ+Sz1L70iG/dyGEGGtD/lP6iiuuoLKyEpPJxOrVq1m1ahVJSUlUVFSwePFiGhoaWLt2Lc8///xonK8QQkw4doud1fmrMWgMqBQqIrEIrb5WvCEvZp15cDeUVVXB+vVw442QINgeK07lnh9fxhtfvJyLpqwmHAljM9lYYl/S53mcfZPcopxF3c9rlJpez68pWIPdYh/Jj0UIIUbFkFduW1pauOuuu/j2t7/d6/HNmzdTXV3Njh07+O53v8sPfvADPvaxj43YiQohxETR7m9nb81eUMBFuRf1Cq917jqisShJ2iTyrHlckHkBESIJb8Rq97dTWneARX96HcMPfgReb9w2oSQjx+7+HH9fmUlSNIwmGsCgMRCNRftcDfaFfBxsPEh+Sj5Awi4H0gVBCDFRDTncPvvss+zbty/u8euuu46FCxfy+OOPc/311/PQQw+NyAkKIcREU+uqpeRUCShgcvJkrHrr+zenpc/gRuuNVLdX4ww6WVu0Fq1Km7DcoWXPDoq/cheGstrEB7r2WlQ/20JeuoW00q04A05S1anUu+v7DKQ6tQ61So1KqWJB9gK0Sm2vm+SkC4IQYqIbcrjV6/Xs3bs3bkrZ3r170ev1AESjUXQ6+YNQCPHh4Qv5cPqdBKNBDjUeotpZDcChxkNYdBa0Si1rC9Zi0poAKEgpSHhzmi/kI+hyoN/83xQ+8kuUkWj8wXJyOnvWXn01SkAX9vcKpKVNpRxqPtS56kry+/v9d6eEXEsuLd4WfCEfS/OXEo1FicU624hJFwQhxEQ35HB7++23c+utt7Jv3z4WL16MQqHg7bff5oknnuCb3/wmAC+++CLz588f8ZMVQojxINEAhO3l29lRsQNXwIU/7O8Og3859he2ndyGRWfhsqLLerX6ShQY9z/1I+be9yt09fHtvWIKBVXXXU7ho89Aj/7jZwdSd9DNidYTtHhbyErK6j6/wUweS3ReEmyFEBPJkMPtvffeS0FBAb/4xS/43e9+B8C0adN4/PHH2bhxIwC33nor//Ef/zGyZyqEEONEogEIS+xLaPO1sadmD0B3qGzsaESr0rIoZ1Gvm7u6dAXlucpskr9xH8v/8IeEx2zJz+To/XdQdOVnwBJfctA1ihc6e9i2B9p79bCdkzmHt2rfYm/tXuZmziUrKavfyWNCCDFRnVOf2xtuuIEbbrihz+cNhsFN2BFCiImivwEI7f52TraeZG3RWpx+J0fOHCEa6ywn0Kl1zLbN5hMzP5Hw5q5a52m8TzyK6Zf/BIcz7vmIRs2RW67hjesv4boFn43bR1c4rnZW4wv5+l2ZLUwp5Lnjz+FKdpFuSO93nLAQQkxUMsRBCDGhJSoRGA39XdZv6miixlnDlxZ+CYBWXyvNnmYAVEpV93keajrEnMw56FQ6gpEgysoqMm/axOw3DyU8Zs28Al79xnU02C1oCLL39F4uzL2w1/vsWkWemzkXd9Ad18O21lnLpORJTE+fzoGGA3hDXkqbSonEIvjDflL1qaP2mQkhxPkwqHCbmprKiRMnSE9PJyUlJeEQhy5tbW0jdnJCCDGQRCUCXUYy+J49AEGn6rxptrmjmWAkSLI+mVpXLanGVGbbZlOcVoxWpaXcUU6utfMGrq7zLG88Rs7jz7Dg8RcwB0JxxwqaTRz5+udwXn8tq9KKqHJUcaj5EKXNpeQm53aHY3h/Fbkj2MGC7AVUtlUSjoW7e9RWtldi0BgoOVWC0++kwNp5I1s4GsYdcBMIB6QTghDiA2VQ4fbhhx/GbDYDsGXLllE9ISGEGEh/JQJA58hZjaHf4DtUdoudJG0SDe4GVAoVb9e93R0qZ2fMpiClgBpnDXq1ntzkXMw6M1dMuQJ/2A/Aa9Wv0dDRwDvP/YpP/fwlTEdPJjxO7RXLUf38EeZNmdddRzs/ez7t/nb2N+6noq2Cg40HafV23nAWioa6V5Er2irY17APhULB4pzF+MI+8q35pBvTaexoJDc5lxm2GXQEO2jqaGJ23mwWZi9Er9YP67MRQojxZFDhdtOmTQn/Wwghzof+SgSisSjJumQ2TNvQb/AdjlPOU5i0Jho6GghGgthMtl43aNlT7SzOWdzrPENOB9f++jUWP/cWqlj8Pj1Zaez6f59k+W3/3V3/2tf7DEaCnHaexhv2sq5wXa8ShDxrHvOz5rPEvqS7R+0y+zL+euyvqBQqwtHwsGptx6oMRAghztU51dxWVFTwm9/8hoqKCn72s5+RkZHB9u3byc3NZdasWSN9jkII0cvZJQJd4a6po4lmbzMevYetpVsHbHk1VGcPOChtKmXbyW3o1fq4UbbJ+mSWsIQ9NXuIbdvGlVu2YW6ML9uKKRS898lLePWmSzGkZLB8kO9z+eTl1Dhreo3Rtegt3LzoZlIMKcD7PWrdATcwMlPHRnI1XAghRsOQw+2uXbtYv349y5cv57XXXuOHP/whGRkZHDp0iCeeeII///nPo3GeQgjR7ewSgZ7BctO8TZS1liUMhMNteXV2P1mr3kqNq4Z6d33C0Gj3qlh69xbyX3wz4f7q8lPZfs8nWHvdN1ngqKKuo453699lYc5CrHpr3Pt0+BxUOiox68xckncJ205siwusiXrUDnfq2GDLQIQQYjwYcrj9r//6LzZv3sydd97ZXYcLsHr1an72s5+N6MkJIcRAzg53OeYccsw5CYPvSLS86hkedWoddoudmdqZvUOjSgtPPgl3301+e3vcPkIaJXs+t4b2r3yRK/KXY7fYybPmcajpEC9XvkxmUmbcqugp5ynafe0cPnOY+Vnz0akGH1iHO3VsKAMghBDifBtyuC0tLWXr1q1xj9tsNlpb4yfqCCHEaOhvNTIQDgAjcxm+PwlDY9lxlOvWw65dCV9TOb+A/7t9FaaZF7Cp+HK0Ki1Of2d/2ypHFQ0dDfz9+N8xa81Y9VY8QQ/J+mRyLbk0dDRQ764nEosAsGLyCvRqPQaNYcDAOpypY/2VR8gACCHEeDPkcGu1WmloaKCgoKDX4wcOHMBut4/YiQkhRH8GWo0czmX4oegOicEg/PjHKH/wAwgE4rbzW0y8/OX1lG9YDmEfGqUGeH9V1B1wU+GowKwz81bdW/jCPiYnT6a8rZzC1EKcfifekJdL8i7B6Xfy12N/HXBs7kjprwxEBkAIIcabIYfbjRs3cs899/CnP/0JhUJBNBrl9ddf5+677+azn/3saJyjEEIk1Ndq5HAvww/Zm2/Cl74Ehw8nfDpy3ad59fb1mLLzuPqssL3E3nnTWWlTKWc8ZwhFQygVSupcdUxPn87Fky9mf8N+VEoVBdaC875qOtqr4UIIMVyDDrfl5eVMmTKFH/7wh3z+85/HbrcTi8WYOXMmkUiEjRs3cu+9947muQohRLeBWlK5Aq5ez49KsHW54JvfhF/9CmIJ+nvl5cGjj6Jav57Le4TrrrAdCAc6V0Q7GthVvYtoLEq6MZ3J1sk0uBvYXb0bq95KrauWgpSC87pqOtyb0oQQYqwMOtwWFxdjt9tZvXo1a9as4fvf/z779+8nGo0yf/58pk6dOprnKYQQvQzUkmrUW1Y9/zx8+ctQVxf/nFIJd9wB3/8+mEydDyVYZe4qSTh+5jjt/nZ0ah3OgJNjZ47hC/pocDewyL4Ii85Ci6eF48rj6NV6QpEQ6cb0kX9P/Rjz1XAhhDhHgw63u3btYteuXZSUlPCVr3wFv9/P5MmTufTSSwkGgxiNRqm5FUKMqLNXZwdqSRWJRlApVX0+PyItq+rr4T//E/7yl8TPz58Pjz8OCxf2uxtfyMf09OkcaDiAN+TFZrQBMNk6meNnjuMNetFqtPjCPmbYZrC/YT9qjxq7pfPP2RxLzpivmg7npjQhhBgrgw63l1xyCZdccgn33nsvoVCIN954g5KSEkpKSvjjH/9IIBBgypQplJWVjeb5CiE+RM5efR2oJVV5WzlTUqeMWMuqXuFaa+kMrffcA05n/MYGQ+dK7R13gHrgP1p73kjmCXmYaZvJG7VvsK9+H6FICK1KS5ImiWAkSHlbOTqVDnfIzXTbdBbnLCbbnC3hUgghEjinCWUajYYVK1awePFiLrzwQl588UUef/xxysvLR/r8hBAfMv2tzk5Pn05pUym1rtqELanmZ8+n1lU7Yi2ral217K7eTeu+PVz107+j3pt4GAPr1sGvfw2FhYPed1d7reaOZiw6S2epgSGdVl8raYY05mXOo8HTQJohjXZ/O9FYlGlp06Q7gRBCDGBI4dbv97N3715effVVSkpKeOeddygoKGDlypU8+uijrFy5crTOUwjxITHQ6qxBbcCgMfR5c9XU1KkDtqxq97dzoO4AHeGOuOP3DNdVjceZ++u/csWfDqAOR+NPNj0dHn4YbrgBFIohvU+7xU44FubVqlcxaU3YjDYW2xdT1lKGP+JniX0J++r34Qw4afW2olAoiJHgpjUhhBC9DDrcrly5knfeeYeioiJWrFjB7bffzsqVK8nMzBzN8xNCfMAM1OVgoIEB09KmUXKqZMCWVP09X+uqZV/DPrQhbdzrtpdvp95dT9q+Y6z97/8jvaYl8Rv57Gfhpz/tDLj9vLf+3m+9q546dx12s72zpjjsY0rqFGLEqHfVE4gE0Kq02Ew2orEokVgEf9gPfhl5K4QQfRl0uN27dy/Z2dmsXr2aVatWsWLFCtLTx/ZuXSHExDdQF4OBBgbo1DpOtJ3osyVVXy2rorFo9ySwirYKHAEHsUAMp9+JJqLpDotLTdOo+X/fZ9m29xKevyMnlSPfv52Lb7pvwPfW7m/n+ePPU+eu636s58pwrasWlUKFzWTj0oJLqW6vxhlwolVrOX7mODPSZ9DsaaY90M7inMV4g96EwxuEEEK8b9Dhtr29nd27d1NSUsIDDzzA9ddfT3FxMStXrmTVqlWsXLkSm802mucqhJigBupy0NcqZKLV14FaUvX1/PPHn48rd3gr8BbPHHkGnUZHuiGNyw52kHbHneQ0x48SjygVvHXdxbTe/WUWFF3c73s72nwUi85CWUsZr1S+gkFr6H6//zjxD9r97SgVSrwhL5cWXEpHsIM9NXtQK9WkGlK5ZsY1NExq4J36d9CpdCwwLcCqt+IKuGTkrRBCDGDQ4dZkMnHFFVdwxRVXAOB2u9mzZw+vvvoqDz74IDfccANTp07lcB8TeoQQH14D1dGevQo50MCA/lpSJSoDUCqUceUORrURq+bfpQB+PSu/+xiGbS8mPP/KolSe/vLFJC9dyU0zruh1Q9fZ7y3TlMnfjv+NPx/9M02eJtr97Vw8+WIONx+moq0CX9iHO+Amw5TRXXZxdmhVKpS9VrA1So2MvBVCiEE6p24J0Bl2U1NTSU1NJSUlBbVazbFjx0by3IQQHxAD1dGevQo5nIEBfZU9JCx3iMHCv77Bqid2onTH31zm16vZvuliXrlyJu1hN4tU8X9knv3ejpw5QiwW47TrNJFohJnpM/GFfZxsO4k36KUwpZBNF2yi5FTJoCeOychbIYQYvEGH22g0yrvvvktJSQmvvvoqr7/+Oh6Pp3tq2S9/+UtWr149mucqhJigBqqjTRTohjIwYKhlD6ecp8g+1cqtm3/PlKrEN4y9M9fGQ5+ZQsEFF3LXoluocFTgDrrjBiec/d7yrfkEwgE8IQ9mnZkccw7BSJA2XxuphlQ2XbCJHHNO93n0F1pl5K0QQgzdoMOt1WrF4/GQnZ3NqlWreOihh1i9ejVFRUWjeX5CiA+Y0ViFHGzZg06tY5IunY88vZfJ//MMinA4bl/+VAvP3nwxvy5sw6AxcP2kZVj1Vi6cdCE6ta47ZPcsf1Cg6PXezDozGpUGpVJJQ0dn6HUH3czPmk+OOWfQoVVG3gohxNANOtz++Mc/ZvXq1RQXF4/m+QghPqBGcxVyiX0JJadKeLXqVVIMKeRYchKWPej3vMlVN38LxcmTCffz2pqp/N+mhbToomg6OogS5Z/l/6SqvYo0Qxofn/nx7hXgnuUPU1Kn9HpvpU2l1Lnq8Ia8pOhTMGlNpBpSyTJnoVPrhhRaZeStEEIMzaDD7S233DKa5yGE+IAbzVVIu8VOYUohT7/3NE2eJnLMOWQnZb9f9uCNwBe/CE8+SaJRC5EpRTzzlVU8ZjmJ03MMlVeFVq1lSvIU6l31EIPClEKeP/4866euB+LLH1ZMXoFercegMZCZlEk4FsaitVCUWtQd5NcVrkOv1gMSWoUQYrSc1z9NX3vtNTZs2EBOTg4KhYK//e1vvZ6PxWLcd9995OTkYDAYWLVqFUeOHOm1TSAQ4Pbbbyc9PR2TycRHP/pRamtrx/JtCCEGaaQDnS/ko9HdSI2zhiPNR2j1tVLtrGZ/w37ea3oPl99J7JlnYMYMePLJuNdHVSoi99xDaP87JF2xgS9c8AVm2maSZkgjzZBGuiGdVGMqucm5FKcX0xHs4Nkjz7K1dCvlbeXd5Q9bS7fy56N/Znv5dqAzyH902ke5tPBS8qx5rCpYxYbiDRg1xmG9XyGEEAM7524JI8Hj8TBv3jw+//nP8/GPfzzu+QcffJCHHnqIp556iuLiYjZv3sy6desoKyvDbDYDcMcdd/DCCy/wzDPPkJaWxl133cVVV13Fvn37UKlUY/2WhBBjaHv5dnZU7MAVcOEJetCpdCRpk2jxthA5VcU1vzuB9b0zCV8bXbKEko0bueS229BrNGwo3oA74KbV18prNa9h0Vk44zmDVq3FoO5cAe4IdsR1fYjFYhxsOshFuRexxL6ke/+yMiuEEOfHeQ2369evZ/369Qmfi8VibNmyhW9961tce+21ADz99NNkZmaydetWbrnlFpxOJ08++SS/+93vWLt2LQC///3vyc3N5aWXXuLyyy8fs/cixIfZQCN1R8sS+xLafG3sqdkDWliWsgxlNMbcP7/Gp/54CL0//oaxoFFHy713Yvvad3C/+H5fW6VCiU6tI8ucRYG1AK1KizfkxRlwov53CzC7xU44FmZ39W6SDcnoI3qcfidNniYKUwqxW+xj8r7P1+cthBATwXkNt/2pqqqisbGRyy67rPsxnU7HypUr2bt3L7fccgv79u0jFAr12iYnJ4fZs2ezd+/ePsNtIBAgEAh0/+xyuQAIhUKEQqFRekfv6zrGWBxLjA75Dnuraq3irdNvkaROYnbG7DE7boYhg49N/RhtnjaOthwls7yR6x55mbwTzQm3r1+1iN/fvIyiOQu5yOfAE/Hg8rqwGC0AqFBxZdGV6JV6LDoL+dZ8Kh2VdAQ7UMaUhEIhqtuqKW8tx+13k2fN49iZY3gCHspbyplqnQr0PXFtpJyvz3s8kd/BiU++w4lvrL/DwR5n3IbbxsZGADIzM3s9npmZSXV1dfc2Wq2WlJSUuG26Xp/Ij370I773ve/FPb5jxw6MxrGridu5c+eYHUuMjg/zdxiIBgjHOldGD7sPU+GroK2ijWPmzmEuaoUanXL0+7F6Ih7K60tZ9dxL3FDSgDoav027xcD/fHIWBxdOIcUb5djef/CS8iWUCiWlfytldtJsqn3V5BnySFInoYgp8Cg8HKGzxj8YCfLMkWc47TtNe7idstYyGtWNOIwOHEEHKoWKne/sZO++vSgVSixqC8usy0b0fY6Xz3u8+TD/Dn5QyHc48Y3Vd+j1ege13bgNt10Uit73NsdisbjHzjbQNt/4xje48847u392uVzk5uZy2WWXYbFYhnfCgxAKhdi5cyfr1q1Do9GM+vHEyJPvEJ4vex6n10kkGsEasrJavxqX30Wbpo1ApHOIwX8s/I8RvWze7m/ncPNhZmfM7t5vaMe/2PDgDsynmxK+xr3pev5w3Sz2tL3J0pxZzMqYhSvgosHVgLPayU2X34Q77KahqoGZBTMTroQ+X/Y8NU01HDlzhPyMfD479bOUnSnDHXIzSTeJTFMmM20zafY0U2gtZGHOQuzmkS1R6O/zVilV2Iw2PjLtIyN6zPFMfgcnPvkOJ76x/g67rrQPZNyG26ysLKBzdTY7O7v78ebm5u7V3KysLILBIA6Ho9fqbXNzMxdddFGf+9bpdOh08SscGo1mTH/Bxvp4YuR9EL7Dc6nfbPe3o1QqsegtNHU0YU+2Y9FZMOvMNHU0oVapiQajNPmasJltI3auTY4m3mt+D5vZhi2ohLvuQvP00wm3jU4rxvuLLUQvvoiUE9uItL6OI+DAHXITIYJCqaDIUITVaOVI3RFcIRc17hoK0wqBztIC6Fy1nZU5i32N++gIdRBTxChMLcSkNfHqqVdJM6YxJXUKOrWOJF0Sa6esTThxbbgunHxh981sZ3/ehdbOXr4T/X+L5+KD8Dv4YSff4cQ3Vt/hYI8xbsNtQUEBWVlZ7Ny5k/nz5wMQDAbZtWsXDzzwAAALFy5Eo9Gwc+dOPvWpTwHQ0NDA4cOHefDBB8/buQsxkfQcRjDYcFvrqqXaWc2yScto6mjiZNtJ7BY7Kjo7lNiMNlp9rf2OwB2srtG67YF2Xih7AYevjcDT/0v0wd+ibGmNf4FGA9/8Ji9cM5PmcC3h0q20eltJ0adwvOU4Nc4aIrFIZ81sKA//ET+BaCDhVDOge/KZSWPCZrRxxnuGlytfJhgJ0upt5YKsC/CGvbT6W0ds4loi5zLCWAghPozOa7jt6OigvLy8++eqqiree+89UlNTmTx5MnfccQf3338/U6dOZerUqdx///0YjUY2btwIQHJyMjfddBN33XUXaWlppKamcvfddzNnzpzu7glCiHhdgRHihxFA4iCa6DVVjioaOhoobSpFq9KiVqnRqXTMzpjd5wjcoeoarVvjrKHx0Bvcs/UUU96pSLzx8uXw2GO0F+YQqXwFo6JzSpndYscf9hMjhgIFOo0OnVLHmfIz+MI+ciw5WHSWhFPNulZLM5MyqXPX0eZvo8PbgVFtJN+az6LsRczJnDOiE9cGMhojjIUQ4oPivIbbd999l9WrV3f/3FUHu2nTJp566im+/vWv4/P5uO2223A4HCxdupQdO3Z097gFePjhh1Gr1XzqU5/C5/OxZs0annrqKelxK0Q/ugJjOBrGG/IOKoj2fI3T7yTNkEZZSxmlzaW0B9opTi0mNzmXU+2nSDemk5WUlTAsdhlMOYQv5GN6+nTeO/0us3+7nXv/eABdMBK3XcSchOrBH8PNN4NSSW3z4e6VZVfAhUFtYF7WPCLRCA6/g41zNqJX6vlL81+oo46TbScpSClAp9TFrYR2rZbqVDosOgvpxnR0ah0XZF5AKBZibdFa9Gr9iE5c68tojjAWQogPivMabletWkUsFuvzeYVCwX333cd9993X5zZ6vZ5HHnmERx55ZBTOUIgPpiX2JXHDCPoLome/ptHTSDgaxuF14PK7mG2bTY45B6veSpWjirLWMtKN6f1eNh9MOcT28u3E9u/j0u8/ReaJuoTblF48lfLvfpULFlyOyl2LVqnttbLsC/lo8jRh0pqIRCPdK51dIdThc3DwzEH8YT9WvbXPldD6jnqykrIIRAIk65K5JO8SIrEI79S90x3QR3tQw2iOMBZCiA+KcVtzK4QYPedSv9nzNcWpxZxynqI6WE0oGmJa+jRyzDmccpzCorOgU+uoddXGXTYfUjmEx8PaX71I0q8eRxGN7+/VmKziF5+dTtXKeQTbSnh02/NkmjIxaowUpxWTa8mlxlnDqfZTmLQmspOymZY2jbqOOl6veZ1pqdMIRoNEYhHS9GkUpRSRnZSNK+giGnv/eP2tlpa3lQ+5Xnm4ZPKZEEL0T8KtEB9yQ63fDEaCOPwOjGojzZ5mQtEQda460oxpqJVqlk1aRr41P+Fl877KIcrbymnqaGJu5lxunHcjvPgi3Hor5lOn4o4fVcCzK9L57aenMck+E30sQoYpAzt2DGoDGpWm12q0WqlmStoUFucsxm6xc6jpEFve2ILdbKelvYW8jDympE3BFXARjoZRKpSUnCrpLss4e7U0w5SBP+wnEA4Mul5ZCCHE2JFwK8SH1LnUb+rUOho9jYTCIfQaPTq1DqVSSYWjglPOU5g0Ji43X86qglVA/GXzvsoh3mt8j1ZfK5MDerjhBti6NeHxzxRk8pPPFVM3ezI2hQq9Wo8v7GNO5hwC4QBXFl/JthPbeq1Gm7QmltmXYdAYcPqdVDmqsOgtBMIBWsOtGL1Gsi3ZZCVl9VmW0XN19FzqlYUQQowd5pP45wAAIABJREFUCbdCfEidS/2mXq3ntkW3sa9hH2VnyliYvZA0YxpmrZmyljKsBivLJy/v9Zqe++tZ2tB1c1c4EsYdcHH5nkaWPf4FcLrjjhvRqKm5/bN47vgywSO/I9zRgDfipcnThFlrpsZZQ6bp/WmGZ69Gv1z1Mt6QtzuQzrLNot5VT4WnglM1p2j1t3JF0RWDaqt1LvXKQgghxo6EWyEmoHMZvJDIudRv5ibnYtFZaHA3kJuci06tIxQJoVVpuW72daQYUgbcB8DOyp0EI0FS6lq57clDzD18JvGGK1ag+J9fUzB9Bv6wn1XeVehUOk47T+MJejDpTORZ8vBFfFh0loSr0bNtsyltLqWyrZJUQyoGtQGz1own4kET0hAIBzjeehyL1oIv5Os33Eq/WSGEGN8k3AoxAZ3L4IXRUOOq6bVCOphw3FUO8bHCj5D7xJ+Y/3gJ2gTtvaLJySh/8hP4whdQKjv323O1uWuV+ex/97UanW5Mp8Hd2ZPXF/LREewgRowVk1dgNVpx+p2c8ZxhV/UuPj3704N6/9JvVgghxh8Jt0JMEOcyeGG0DKffql6tZ0N7Jsqbb4FDhxJu47nmSkq/8UWmz1mFVZl4dXmgf5+9fc9zdwVcNHQ0YFQYmZc1D5PORFNHE/kp+Sy1Lx3V9y+EEGJ0SbgVYoIYTzcynXO/Vbcbvv1tlD//OSToce3MSOb1ezaS8snP8GbtmyS5pozYynR3IE2fQZoxjf/e/d80Khpp9bZi0VswaAysKVgzqLIC6TcrhBDjl4RbISaI8XYj05DrdbdtI3rrLShr44cxxBQKHF/6DG/dfCXt2jAeV+2Ir0zr1XrWFqztnLAWcGLSmFCi5GTbSQKxwKDqbXuSfrNCCDE+SbgVYoIYqxuZRupmtW6NjfDVr8Kzz5Io/sXmzkXx+OPsMtfR4m0h5A/hC/lGZWV6R8UOWrwt+EI+ApEABYYCMk2Z51RvK4QQYnySpQYhJqBTzlPUumo55TzV6/F2fzu7q3fT7m9P+PNgdN2sVuuqHd5JxmLw5JPEZsyAZ5+Nf1qvx//97+J/YzcsWcIS+xJsJhv+kJ+spKzuf3whHzaTjSX2JcM7H+g+RjgaZlX+KmabZzPdNp1cSy5rCtdw8eSLh30MIYQQ55es3AoxgQx0I9PZXRQG21VhsDerDWZVt93fTvnebcz+ziPoX38LRYJtqhdOYc83b8Sbl0N69ctcM+OaMVmZ7nkMjUpDOBpGpVQNqd5WCCHE+CbhVogJJNGNTJ6gh0A40D0OttnTzKHGQ1h0Fg41HqLZ2zxg7epgb1YbMCwHgwTu+zYXPPxr1MFw3NPuJC1vfe2TNH38Cpo8zRSabL1qhdsD7ZS3lZOkSyJVn5qwxdZIlU1Ut1fTGmqlur2aVGPqOe9HCCHE+CLhVogJ5uwbl7rqSLuCabu/neeOP8cLJ14gHA1jM9l6BVWD2kCeNa9XOOzvZjW7xc709Ok4/c4+V3UBIq/vQXfb7WQeK0t43m+sKOTR66eSXWRnWrRzlXiZfRlZ5qzubVo8LbT725mVMYs1BWsSttgabo/frtXvqSlTyWjOoMBegCfikTZeQgjxASHhVogJ7uxgmmZI42DTQSraKihKLWJe5jw0Kk13VwWz1hwXDhOVBPhDfmrdtZi0JvbU7OlzVTcramTmlj9Q+MftKBK096pL0/KTGwvZNd2AVt2Os/U4Za1lmDQmMkwZfHzmx7tLImpdtaQaUml0N+IMOPGFfSzKXkQsFsPpdwLD7/HbtfodCUfwHPGwMm8lKrVKuh0IIcQHhIRbISa4s4OpXqdnTsYcGjsamZM5B7POjCfoAWBB9gIONBzoc/UV3p+6VdVeRaWjEpvRxuTkyTR1NMWt6i7ff4ZFP3oKVX1j3HlFlQr++ZFinrqmAIcqyCSNiRm2GeSYcyhrKcNqsHJh7oXdJRHugJsKRwVmnZm36t6i2lmNw+fgoskXkZecN6I9fpUKJREivX7uMuLdIoQQQowpCbdCTBCDCV1dwdThdwBQ46whRZ/Cu/XvEo1FAYgRSxgO109dT5oxjVxLLnnWPP5+/O8cbznO8ZbjTE+bTmV7JQaNAb1aj+mMk6t/+DsKX30v4XnUFKbxf/+5lhMFZlZlzeP1mtdZU7iGFH0KoUgIrUrLdbOvI8WQgl6tZ0/NHkqbSml0N+IJeYhEI1S0dQZdjUJDfnI+vpCPGlcNuZbcUe3xO15GGwshhDg3Em6FmCD6C11nd1EoaykjGAly0aSLmJY+jRxzDvsb9xOKhphkmZQwHOrVegLhAG/UvEG6MZ0YMQqthZxsO8lvD/2WyvZKKs6c5GuHTax49J/oPYG4cwzpNLz6+VU8ucKMM9KO2R/pbilW66rFE/R03ySmVCjxhXwkaZNwBpwcbDpIjbMGrUpLiiEFd8CNRW+hpLqEQ82HmGmbSZWjivzk/BHvpDCeRhsLIYQYHgm3Qoxjgw1dibooXFp4KWqluvvntYVreebwM/222cox5/BU81OolCoyTZnEiJGdlM3RM0fJrG7jx3+tYfaJxD1zI+vWUnLPJyEvn7XOajxBDyadiWxTNkqFsjto97xJ7F8n/0WLt4U6Zx3BSBCdSkcwGuxs1aXU0OptZUH2Asw6M+nGdPKt+d2r04k6KZyr8TTaWAghxPBIuBViHBsodCXqfNClK9h26Qq+Z4dDX8jXvU1HsIPitGIqHZVUOipRK9XoIwpu/kc9n/9XI5pI/A1jpKfDli2oNm5kDTGUCiXRWLTXv6+YekWvoN31eNfNcG3eNuZnzafOXYdRY+Rgw0GMWiPZSdnMyZxDIBxgbeFa3qx7k2RtcsIev8Mx3kYbCyGEOHcSboUYxwYKXYk6H/SlrwEQr1W/hjPg7A7Q09OnU+eq47T/NBecdPP9PzYxpTmUeKef/Sz89KedARdQ/ntkQ1eQ7vp3X0G7581wC4wLCMfCtHpb0Wv0JOuTicQi1DhryDRlJlyd7grJwzVWo42FEEKMPgm3QpwHg70jvyt0VbZVcrLtJAUpBShinQGyv84HiepD/WE/Vp2VeVnzsOqt3eGwwd1AyakS9tbuZW7mXNIN6UxV2vjin97ho7viuyAARAryUT32OKxdO/wP498aOhqIxqJYdBZm2GYwyzYLW5KNPEsevogPnVoXF2RHo33XaJQ9CCGEGDsSboU4D4Z6R77D72B/4378YT91rroBOx8kqg+tddWyv2E/acY0rHprr4BdmFLIc8efw2VxMnd3OT/44V8xtsTX1kZVSt67YS1FDz9Fcmr2Ob//nsfWq/WdK8rpM7jReiPV7dU4Ag7WT1mPVqXtVd4wmgYabSyEEGJikHArxBgZ6h35Xdv7w34isQhp+jSKUoqYkTaDg80H8Ya8FKQU9Fsf2t8x32t4j13Vu1Ar1VQ5qjA0trLmJ4+w4J3ahOcfWDCXQz+4nfoiGzMtKcP6LHqG+9kZs3uVGxSkFMSFWVfANeq9Z0ez7EEIIcTYkXArxBgZ6h35PbdP0adQYC3AFXBh1BiZbJnMsZZjTEmd0m996NnHzDRlUtpUSkVbBTsqdnDGd4am9nqueuU0jz3xOgZffG1tzGRCsXkzvi99Bn/LUS7JmIVerR/y+x9KuD87UI5V79mxKHsQQggxuiTcCjFGhnpHfs/tc8w5vbbPTMrEF/YNWB/atY/DzYcJhAN4Qh5cfhft/nYsegsLW7R85v89y/TyxO29+MhHUPzqV5CXR23z4e6AmWpIHfL7TxTuS5tK2VW9i7zkPCYnT+4V7qX3rBBCiHMh4VaIMTLUO/L7236wbbG69rGvfh/V7dWdN6ShoMPVwtdLglzw2x0owxHOFs2wofz5I/iu2UAwGgK/c9gBM1G4b/W1UtFWQV5yHkvsS3ptP1K9Z2WcrhBCfLhIuBXiPBjqHflnbz+Y+tCulU9nwEmLp4Vady1alZYl5V7u+snL5DR2JDzWsY9ehP3RP2DJyWf7sedGLGBWOiqZnz2f6vZqAuEAjpiDFk8LoWgIm9HWOanM7+wOzCPVe1bG6QohxIeLhFshxtBQ78jvb/uB6kO7Vj59IR/+iJ+LTNO5+n/2suhfBxMeK1CYx7HNd1C9oICCjCygc7W1Z5uwrKSsYQVMtVLN0TNHOeM9g0qhwhPykKJPoaq9iq2lW3sF5uH0nh1MSYNa/vgTQogPJPnTXYgxdPaKa7I+mYNNB/GH/Qlv0hrOHfzdK5+tFXyhzMiSH/8BXaszbruoWsXJL15L3o8f44IkK3N77N9usb/fJizZRbohfVgBs9ZVy5zMOTS4G4hEI6gUKlB2jv11+Bx9BuahrnQPpqThqilXDbgfIYQQE4+EWyHGWM9gWuuqZX/9ftIMaX1eMu9rhXagWlK7xY65oY3599xL3utHEu47vHgRB3/wZQpWfBS9wdq9/57BtMpRhTfkpbSplEgsgj/sJ1U/8A1liQJmjbMGvVpPhimDo2eOsjp/NSqlikg0gl/jjwvM59p7VsbpCiHEh5eEWyHG2Eh1Aei3ljQSgUcewXzvvVg8nrjXxsxmFD/6EcevvZjXTr2Czl3fqwNCz2Dq9DspsHb2ng1Hw7gDbgLhwLACZmZSJvnW/AFXZM915XowJQ2hUB8jhYUQQkxoEm6FGGPD6QIwqGB89AR88Yvw7rsoEuyjbvUitI8+hjavkIpTJQn30TOY5ibnMsM2g45gB00dTczOm83C7IUD9rodiW4PMPzeszJOVwghPlwk3AoxBnqWEAznknl/wVgXjHDxU69Q/Ju/d67cniWUkY7mV7/mrenQ2vEu4dI3+w3XPYNpOBoeVK1tX6US59LtYbhknK4QQnw4SbgVYgycPW72XLsA9BWMda/uZv1P/4bpdFPC172zYQHN997JxXPXMsNdT2lTKbWu2kGF66GsfJ5dKjGcbg/DJeN0hRDiw0nCrRCjpL8SAmfASSgSGvIl87Mv9dPSwkUP/IaCF3Yn3L4mx8Tvv7yCpDVX4PafouK9pzFoDBjUBgwaQ7/herArnwOVSizKXkSlo5JkfTKrClaNacCUcbpCCPHhI+FWCEZnilV/42ZzknJo9bVyedHl53bJPBbD9OxzrPnFNozt8TeMRdQqXvjEHJ69qhD0OpLPHCMYCRKJRbh6+tVMS5tGyamSfsP1YFc+B6oh9oQ8xGKx7tVcCZhCCCFGk4RbIRidKVYDjZu9bfFt5CZ3rm4O5ZK5vqaej9/5OBmvv5fw+dYF03nhro8SmjaF5Ib9qBQq3EE36cZ00o3prM5fjU6t40TbiQFXZQez8pnofaqVaupd9eSn5KNSqjjVfuqcx/YKIYQQQyHhVpw3o7FaOhQj1ZKrL10lBH2Nm7XoLL3GzQ4YbMNh2LIF7Xe+Q4bPF/+8xQIPPoj6M5/Cd+QZdAoVkViEdn874WgYs87c/TmPZD1qoq4IpU2lNHmaMGgMxIid89heIYQQYqgk3IrzZjRWS4diOC25hmKw42b7tW8ffOlLcOBAwvZeXHstzh9v5pCqhckhF76Qj331+whGgyRpk8iz5nFB5gVEiHSvzo5GPWpXmYNOrcOsNeML+8i35ssQBSGEEGNGwq0YU6O9WjoUYzHFSqfWsXTSUupd9fjDfmKx2KDGzXbzeOA73yG2ZQuKaDTu6WhODr6HH0R5zbWcdlTwbsW7GDVG1Co1OrWOT0z7BHqVHmfQydqitWhV2lGpeU1081l9Rz0t3pYhd4QQQgghhkPCrRhTY7VaOhiDmWI1FInKLPRqPZ+74HO4A262lm4lRZ/S77jZXl58EW69FU6dilutjSkUvHfNhbx520cJmlpIO/oXtCotDR0NlLWUkapPxaQ14fa7uXDKhURjUWKx2KjdzKVX67lk8iUcaT7S3RXB4XPwzOFnZIiCEEKIMSXhVoypsVgtPRcjEcD6KrPoGSgHdZzmZvja12Dr1oRPtxdN4vDm/6R6Zg5vV7yEwW8g3ZDO23Vvk2xIpqKtAgCT1sS28m20+FrG5C8O9e76Xu/foDHIEAUhhBBjTsKtGFMjvVo6XMOdYuUL+fBGvEDiMgtvyEt5WzlT06YOfJxYDJ5+Gu66C9ra4o4V02p5+/OXU33zp1DpDagiIYrTi8lLzuNA4wGMGiPJ2mQ8oc7WYLmWXLJMWfhCvlH7i8NAZSZrC9Zi0poAGaIghBBibEi4FefNeLhcPdyuATsqd+AIOAbV47Xf45SXwy23wCuvJD7QypV0/Pwn7A+8g9NbiyFowBVwYdKYmJs1l93Vu0EBRo0RX8QHMSiwFpCkTcLhd4zaXxyGWmYiwVYIIcRok3ArxtxwV0tH2nC6BizKWcR7ze+dU49XpUIJoRD89Kfwve+B3x+3f2+SDsf3v4n9jm+jiQTIqajr/tx+e/C3VLRXsO3ENpq9zQCcaDtBnbsORUwBMZiVOWtU/+IwXstMhBBCfHhJuBVjbiR7rI6lnjeMmVSdl9rtZjsKlYLd1btJNiSjj+gH3+P17bc723sdOpTweHsvyuWpz13AqqVTuNh1Gq1S2+sy/xfmf4G3697mRMsJJidPxma0oVVpebnqZVINqXxp4ZeIxqKj+heH8VZmIoQQQki4FefFaPRYHW09bxibljKt+/F6Vz3VzmoisQgF1oLuHq9tvjYUCgU5lpxeq5lLzDPgq1+FRx7prLM9S1Oqjv+5aR77F2SjUCj4y7G/sO3kNiw6C5cVXdZ9md9usXOp9lKqHFVYdBbsyXZ0Sh1XFV/FxjkbSTGkAIzZXxzGQ5mJEEIIIeFWiH70dcNUsjqZM8EzNHY0UuuqRaVQkW5M59KCS6lur6bV18rxluPUOetINaSSnZSNQWNg3dEApjvWwenTcceKKuAflxfw4/XJ+PVRrCEPBrUBo9aIVqVlUc4iltiXxL3O4Xewv3E/gUgAq95Ksi65V5gd7WA73spMhBBCfLhJuBWiH33dMPWPsn9wsv4kb732FtNt07m04FI6gh28UtV5Q5hOraPd106tuxatSkukoY4Nv3wJ0ysHEx7ndH4Kj9w0l8jihWQ5a6h0VKJVaMk0ZhIhwmzbbD4x8xPdl/m7Qrc/7CcSi5CmT6MopYjspGxcQRfRWPzAh9EyUctMhBBCfDBJuBWiH33dMOXwOmjTtpGRlNH9uCvg4qWKlzBoDWSZsvBH/MzPvICLd5Zx+WO/x9gRiNt/SKtm9+cu5dcrjCSb03G766hur6apo4loNIpSqUSlVMW9rmfoTtGnUGAtwBVwEY6GUSqUlJwqGXJP20RDKAZrIpaZCCGE+GCScCtEP/q6YSorKYv89Hz8Jn+vx7v6zjZ2NHK1YgbLv/M70t85nHDfbRfN58EbC/Hm5WAKuglGgihREoqGyE7K5tNzPs0k8yRKm0vpCHV01rLSuXLbM3TnmHNGpEtBX0MohBBCiIlEwq0Qg9TzhqkkdVLCx616KxdnL6Hx219j4f9uRxUKx+0nmpqC/4Efsnt5NtHavfi8DpK0SSRpk0g3pWPRWbCZbNw490aykrKY2TSTlypeosXbQlZSFjByXQoGGsLQ1bZMCCGEmCgk3IoPjOFcVu+PTq0jWZ9MKBJiVcEq2rxttHnb8Cl9pJpTSTWmdt9IpXzrLXI2XcXkY2UJ91Vz1Qp2/edH6bCC11GB3Wynoq2CsDeMQW3gtOs0BdYCVAoVVY4qDGoDVY4q2gPtcaGzy3C6FAx1CAOM3ucshBBCjAQJt+IDY7Quq+vVemZnzOblypdRKpSsKlhFk6uJJw88yU25N5FpyQSXi7yfPEjs0UdRJGjv5bFnoHnsCVQXL8Bc/w5n/l3Dq1frmZw8GU/Qw6yMWVj1Vspayzh65ihnvGcoSinCF/aRmZQZFzrXT10/5C4FZwfTcxnCIOULQgghxjMJt2JCG83L6j33XeWo6rXvE60nKPOWUe+uJ/OVN+ArX4G6OhRn70SpxH/7bey/5UrmFCzDrrf2KicAWJyzmF3Vu1CgwBvykqpPZal9KcdajvH66dex6q1khjKZZZvVK3SeS5eCs4PpYMsbpHxBCCHERCHhVkxo53JZfSj7rnHWUOOsIcWQQqYpk9KmUiraKjjReoL2hqNkbLoVXn478Q7mz4cnnqB8kpZ3K3aS4prUa6WzZzlBvjWfdGM6jR2NZJuzsegspBhSeLH8Rax6KwXJBQlD52C6FAwUTH0hX9z5nF3eMJqfsxBCCDGSJNyKCe1cLqsPZd81zhrK28q5MPdC6tx1NHc04/Q6uLKkjk/99iBGfyjudUGdmqO3X0fqf30P1GqOnX6rV6D0h/2kG9OZkd67nGCZfRl/PfbXXiuoGpUGs86MN+yl1d96TpO/BgqmFp1lwPKG0fychRBCiJEk4VZMaCPVNaCnrpXOJG0SNqONUDTEGc8ZcpNzMZ48xbVbSphZ1pbwtVVLp/HWNzexPVJGqOTbAGhUGpbnLu8VKFMNqawqWAW8X07gDriB91dQXQEXybpkFmUvYk7mnHOe/DWYYJptzu63vGE0PmchhBBiNEi4FR8Yw+ka0FPPlc5Wbysp+hTKG46w9Il/cc1zx9FE4m8Y86eYeeX2DTiuXY9Fn8zC9iT2N+wHYEHWArKSsvpd6VQqlAnH2DoCDtYWrUWv1p/z5K9zCab9HWOkPmchhBBiNEi4FRNeolA41K4BPfVc6bRb7GQeOMHHHn6XjJrWhPs6fuUykh75NdUte0lRqglGgtiMNuZkzAHAZrINKlAO5gax4U7+Gk4wPZfPWQghhBhrEm7FhDcSXQN66lrpbK2v4JKH/8CUP7+ccB+uzHTKH/h/nF42jWW2LGjpHR61ys5etEMJlKM1xnYkgum5fM5CCCHEWBvX4fa+++7je9/7Xq/HMjMzaWxsBCAWi/G9732Pxx57DIfDwdKlS/nlL3/JrFmzzsfpivNoJLoGdLezisVQ//V5rvvP72NqdcXtJ6ZSEb3zTl5btIjLr7mGC9Sdl/rPDo9nfGcAsBls532lc6SC6WiFbyGEEGKkjOtwCzBr1ixeeuml7p9VKlX3fz/44IM89NBDPPXUUxQXF7N582bWrVtHWVkZZrP5fJyuGMcG1c4qaRF85SuY/v73hPuILlqI8oknic6cSeSf/wQ6A15f4bHr+Z6Pna9AKMFUCCHEh8G4/383tVpNVlZW9z82mw3oXLXdsmUL3/rWt7j22muZPXs2Tz/9NF6vl61bt57nsxbj0RL7EmwmG76Qj6ykrO5/fCEfNn0qq7cdgZkzIVGwNZmIPvwwyjffgnnzEu4/UXiUQCmEEEKMrXG/cnvy5ElycnLQ6XQsXbqU+++/n8LCQqqqqmhsbOSyyy7r3lan07Fy5Ur27t3LLbfc0uc+A4EAgUCg+2eXq/PScygUIhSK71s60rqOMRbHEu/LMGRwsf1iattricVieINeYrEY2ZUtXPmzrWje3ZfwdW2rlsEvfoW6oAhDNArRqHyHHwDyHU5s8v1NfPIdTnxj/R0O9jiKWCwW39donPjXv/6F1+uluLiYpqYmNm/ezPHjxzly5AhlZWUsX76curo6cnJyul9z8803U11dzYsvvtjnfhPV8gJs3boVo9E4Ku9FjA+eiIfdbbvxRD0Yw0o+8o99XLnjKKpING5bh1nLjz6WxaHF05lkyMWsNnOh9UJ0yv5rZjvCHVT7qskz5JGkThqttyKEEEJ8qHi9XjZu3IjT6cRisfS53bheuV2/fn33f8+ZM4cLL7yQoqIinn76aZYtWwaAQqHo9ZpYLBb32Nm+8Y1vcOedd3b/7HK5yM3N5bLLLuv3wxopoVCInTt3sm7dOjQazagfT7zPH/ajr9STd6CSOd/9JdrKUwm3K1k7hT99ZhFeix615wzKJCUZKRkoU5V8ZNpH+v0ODzcfpvJEJX6zn8umXRbXjUGMD/J7OLHJ9zfxyXc48Y31d9h1pX0g4zrcns1kMjFnzhxOnjzJ1VdfDUBjYyPZ2dnd2zQ3N5OZmdnvfnQ6HTpd/OqbRqMZ01+wsT6eAI3bzTU//QeK3/wm4fOBonx++YU5HJiWTKoxlXSVlhgx8lLymJExg8U5i3t9Z13fYc9ODDXuGuo8dVS5qpiZOZOZtpnvd2IQ4478Hk5s8v1NfPIdTnxj9R0O9hgTKtwGAgGOHTvGJZdcQkFBAVlZWezcuZP58+cDEAwG2bVrFw888MB5PlMx7sRi8H//B1/9Korm5rino2oVwbu/RvMdXyJ04jncdW+g9CuJRCNo1VoM6v7HzG4v3069u55AOIA35EWlUHHaeZqnDz7NjPQZpBnS+PjMj0vAFUIIIUbZuA63d999Nxs2bGDy5Mk0NzezefNmXC4XmzZtQqFQcMcdd3D//fczdepUpk6dyv3334/RaGTjxo3n+9TFedbub2dvzV5QwPLoJJK/9l/wr38l3LZpTiH/+vo1+KYVEqt+iUZPIwXWArQqLd6QF2fAiVrV/6/KEvsSHnn7ESrbKjFpTSgUCvKS86h31UMMClMK2V6+nWtmXJPwXPualiaEEEKIoRnX4ba2tpbrr7+elpYWbDYby5Yt48033yQvLw+Ar3/96/h8Pm677bbuIQ47duyQHreCWlctuype4eLn92P+7Zvg88VtEzDqOPTV62i88Wo0YQ9tHU0UphayrmgdR1uOkqxNpiClgApHBe6gu9/hC3aLnU3zNvGzN3+GJ+gh1ZiKVqUlHAuTm5xLcXoxi3MW93mufU1LE0IIIcTQjOtw+8wzz/T7vEKh4L777uO+++4bmxMS40ai1U5fyIfT7yQYDVJT8ndu/ub/UlThSPj6pjXLeP4r67AUzURDBJVChUHzfulBUWrRkIcv5JhzKE4r5rWa1wYsaRj0tDQhhBBCDMm4DrdiYhmJy+uD3Uei1c7t5dt59cg21vxuD1f+owx1fHcvfLYUzjzwHX5f6MEX8WNynsKgNuAL+9AoNew9vZcLcy+MO/Zghi/o1DqOdgErAAAgAElEQVSyzFmDKmkY1LS0BCUMQgghhOifhFsxYvq7vD6c0NploNXOJUedrLnj71jqziTcd+k1y9E++FOOhxvpqHsLgNm22eRZ86h311PWWkZpcynJ+mQi0ciA59oR7mBPzR7m2+dj1VvRq/VcPf1qTFrTgCUNS+xLeKf+HSrbKslKysKis2DUGGn6d2lEXyUMQgghhOifhFsxLIO9vD6c0Nq1j67VTnfATYWjguL0YkqbSnn30Hau+9+3mfXi/oTnWGe38L//sYzkNVcSbn69+7XBcJAKRwUVjgrSDGlMtkxmf+N+3q17F0/Ig1qp5oKsC/osD2gNtdLQ0IDNbOt+T0aNkQ3FGwYsabBb7CRpk2hwN6BSqAhGgnGlESA3mwkhhBBDJeFWDEt/l9ejsSjJumQ2TNswqNA60CX6rtXOE60ncPqdqFAy76VSVvzsbyS7g3HnFlQrePwyG09dnklBVjJXG9M50Hig87UKFTnmHF6qeAmD1kCWKQulQkmaIY0DjQdo8jRR66qloq2CDdM2dJ9rVxAPhUI0BhpRBBQD1soOVNJwqkdpRLKud6sxudlMCCGEGBoJt2JY+ru83uxtxqP3sLV066BCa3+X6BvcDRxqOkRRahHbyrahP13P2vt/wvT9NQnPq2y6jWe/upYTNhWF0SDLJi1jsX0xu6t34w17Oe08jVFjZHLyZPKt+bxW/RoqpQqNSkMgEiBJk4Q35OW06zTPHnm2+1y7gnggFKAh0MBSy9JzrpXVqXXkWHKYoZ1BQUoBVY4qnEEn0VgUp98JyM1mQgghxFBJuBXD0t/l9U3zNlHWWjZgXelgLtFveXMLe2v2UmDOZe7vX+SLz9diCMXizsdr1PCPmy5B8aWbmUqMdL+DJG0S3rCXF8peoNnbOcDheOtxylrLMGlM2C12itOLafG20OJtIUWfQjQWZX72fDoCHdhMtu5z7QriJ1tOYtVYyTRl4g17z6lWVq/WJyxheP7483KzmRBCCHGOJNyKEXP25fUccw455pwB60r72odBbcAZ6FzBtGgtFFQ5uO1/XiKvKnF7r2MrZvHU5+ejzJ1Elqex+zwW5SyirLWMMm8Zk5MnYzPaMGlNlLWUYTVYWWJf8v/bu/P4KKt7f+Cf2bfMTPaVIQtJ2MImmxEQUUFRq+B+tQpe11Zcam2vVq2x9RavXhWtYrEqVKuCvyLKVfGSIlBkUQTCFggJCQkhkz2ZmWT2mfP7g5uRIROSQEhm4uf9euX1Yp7nmfOcybepn5yc5xxsr94Ol8+FKksV3D43opRRkEvlnfraEcSrW6shlUh79JnO5PQpC1KJlA+bERERnQOGWzpnXf15XSVXweV1ATjzvNKu2vjf8v/FF0e+gMLhxoS31mDhJ1sg9XcerW1PjMHup/4de6YMxThdPFKjUoP6kRmTGQjZJqMJKrkKHp8HSpkSt+bdCo1Cg0prJUwGE+RSOapaq+CHHzW2GsRp4rr83A3uBpywnYDb7w75mbrS3UNiPX3YjIiIiDpjuKVz1tWf1ztedxV8u2tjWOwwHP/krxj9+zdgrO08WuuXAOtmZ6LksTvh1qlhlCkwN3suYjQxnfrREbKrrFVBIVsqkQbu7fa54YMP003TkR6djsrWypB9VclVJzds0Obi2txrUW2rDnldV3rzkFh3vxQQERFRMIZb6hMdofT0Ucnugm+oNgAA9fUw/eoJmD76KOT9HMOzsOrhy1GdZ8JNo2+C2WqGxW3pcqWCM40ud1x3el8zYzJD9lUtV+PqnKshK5Mh3ZiO7Pjsbncw6+2OZN31l4iIiEJjuKU+FWpUMtS80tMFQnFiHqJXfgb8+tdAS+fRWrdCin/dcTEmv/oJ7tSfnDJgdVlR31aPGUNnQC1Xh+xXT0N2T/ram+s69HZHst78UkBEREQ/Yrilc9bbUclQqq3VKP1+HSa8/hvg2+9CXlNzQS6W3DUS8pGjMEbqB1w2KGXKoEAtlUhDzmdtdbZiW9U2QAJcZLoI0erofg2KZ/OQWG8DNBERETHc0inOdjes3o5KdtwnOzYbWoUW8HggfeG/cMebK6Fwezu17zRosf3h67H7ynHIURthcVqw8sBKAECcJg56lR7mNjPWHl6LSamTsMu8Cxq5BpPSJgXaqLZWY9OxTYAEGGoc2u8bIvAhMSIiov7BcEsBZ7sbVm9GJVudrfj88Oc4YTuBXeZdyCipw4zn38eospqQbduvvxbrFl2BbxwHMVatR3JUMrQKbWBnMZPBBAkkkEKKb6u+RVFtEexeO6wuK4YYhsDqtgIC2Fe7D5WWSgAn/21QGaCUKmFUG/t9QwQ+JEZERHT+MNz+xPXFlILuRiUFBP559J/Iic9BjbUGmys3Q+8C7ltThVGrvoFEhNiMISUB9tf+G/E33YnU49tRt/0bWI1WxGviIZPIkBufi5SoFJywnkC1rRqVlkqcaDsBlVSFsUlj4RM+PP3N0yhtLoWAQII2IfBn/dWHVuPL0i9hUBkwZ9icc9oQodXZisM1h3s02s2HxIiIiM4/htufuN5OKehOqFHJsuYyLN+zHCajCRanBambd+Oxvx9FbENbp/f7pRLsv3kWkl95G+qYeFicFlS0VMDusWN/3X74hA9OrxOx6li4/W4UNxbD5/fB4XFAI9PA5/dBQKDJ3gSr24oxiWNQb6+HQqpAclQyAKC2rRZKmRKjEkZBCIFWZ+tZT1PozWg3HxIjIiI6/xhuf+L6ajes00clDzccRpOzCU6vE6uLV6POXge/+QR+8fcSXPx9bcg2GnJS8eVv5sExPg+Ghh2w19jh9XthcVqQGX1yWS6v3wubywaX14VbRt+C3TW7cdx2HIm6RFS2VkKr1MLhcSBFn4Ls2GzcPvZ2/OPgP3Cw4SD8wh/oa15CHialTsKO6h2otlb3Ktw6PA60O9vR7mtHeUt5r0a7+ZAYERHR+cVw+xPXVw86nT4qudu8Gza3DZ8e+hRKyHHXTi+ue28rouydHxjzqhSofOQuyB//DTLaTm6IkJeQh/31+1HeXA6T0YSRCSPR5m5DXVsd8tLzMDFlIhJ0Cbg442LsPLETKVEpaHe3w+KywOlzQq/SBwKrw+PAkaYj0Cl1kEIKiUSCYdHDUNFScVbTML4u+xq1tlrsa96HzJbMcx7tJiIior7DcEsB5/qg06mjkB0jwi17tuOXL69F0q7DId9TOSkH0StWYtjoCwAA6Qk/bogQr40PhG6v3xsydM/NnguL04JGeyOS9clIiUpBekw6xieNhw8+GFQGqBVq6JV6zMqcBbPNjKOtR3HMegwymeysgumUtCnYUbUDLuFCUlQSYrWxZzXaTURERH2P4TaMnO1SXOfqfDzopIMCo99ajcy3Pobc4+t0vt2gwWf3zoDkzjtx/fBRQedO/1P9mUK3RqE52ff4kfh59M8DW+ZOGzoNACCBBFkxWWhNbUVuXC6uyb0Gu2p24bj1OEwGU6+nYbQ6W1HeUo7xyePxT8k/IZNyWS8iIqJwwnAbRs52Ka5z1ecPOm3dCvXdC5BTcjTk6ZYbr0Hxf9yNKL0Es7Nmd7mrWE9Cd1db5n5++POgB+WGGocGRmjdPjeOtR5DZnRmr4NpR40mJk8EAFS2ViJKFcVlvYiIiMIEw+0A64uluPrCuTzo1DHinCNLRMwfX4Lq7XcRKq62DUnE/zx6FWbdvxjTopK7DdDnsmXumR6US4pKQkZ0Ro+nYYSq0QnrCWhkGoyOH42RSSNhtpm5rBcREVEYYLgdYH29FNf50N10iWprNVo+fg9RL6+BqtHS6bxXCmy9YQp23nMVfFr1yfmxUck9CtBnG7rP9KDc5VmXY8eJHTAqjT2ahhGqRsetx2H32mFuN0M0CMwfOZ/LehEREYUBhtsB1ldLcZ1PoaZLmG1mFNUWYYw3FnEPPYK8Dd+FfG9JehQev8mI9jwdkqyH4WhyICs6KzAybffYUdZcdl7nGZ8+QtvbaRihaqSUKnEYh5GoTcSUtCkAuKwXERFROGC4HWB9tRRXX+tuusTfi95HzIpVmLXyINR2d6f325USrLg+C3/JV6JduKBqq4XD40CqPhVfln2JRkcj5FI52j3tEEKcl3nGZ5qz25sR4ZA1ksqgkqgwM30m4vXxfdpvIiIiOnsMt2HkXJfi6kuh/hR/qOEQjjYfRcKxetzwx78h63DozRj2jE/GUzfGoD5BC6UA4JdDLpFjiGEIcuNyEauORbO9GRkxGZBJZTjWeuy8zDM+HzuCddSozdV5dzUiIiIaeAy3YeB8LMV1rkL9Kb7kxF7k/+0bXLe2BHKvv9N7mvVyrLz7QjhvnIeUxmK4Wyshk8pgc9vgF36o5WoMjx+OInMR6trroFFoICDO6zzjvtoR7PQalTaWor2ynQ+QERERhRmG2zBwPkYYz1WaIQ1e4cWWyi0waowYsuMonvr9/0NMVX3I61dO1mLJDWlwGmwYYy6CSqGCRqHBqIRRaHI0YX/dflicFtTYaqCSq6BX6uHwOpARnRGW84xPd3qNUnWpsB2wdbmMGREREQ0Mhtsw0VcjjKcLtdJBTzeLqLHWoPFEKUYt+V/kf30w5DUV8XI8fr0exyZkwuVzQSNVwBRjwtiksbC77ciKyUKKPgWfHPwEEokE80fOh9lqRk1bDRrtjWE1z7g756tGRERE1HcYbge5UCsdnGmziMCDZEIAqz7Ba88XItri7NSuRwq8c1kMPrw2E2ZfK+KkMqRoUnBF9hXQKXWYmz0XepU+EACfuvgpACcD4fC44WhxtGDlgZVB84wVUgW2Hd+GfFN+v25i0VutzlbsObEHbV7OuyUiIgo3DLcRpiejrqFWOiiuL4ZBZQAAHKo/1OVmEV+XfQ1HeQkuWvwh8rceCNn+wSw9XrxjGHYleODwtqLd3Q6X14VUQyraPG3QKXUAgkc2Tx/lDGybe8o84331+7C/fj9MRlNYh9tqazV2mXdB6VEOdFeIiIjoNAy3EaYnW/SGWungq9Kv8HnJ5wAAhUyBaaZpnR/iyr0Ws9buQ9QfXoDc3nm01q6W4f1bRmDDFbkwO+rhtNVCJpUhPTod8Zp4zMqchZFxI+HwObp90KpjDqvL60K9vR4OrwOx6lgcaT4yIDu0dafTLwyuFgiXgMVpgcKnCJt+EhER/dQx3EaA3m7RG2qlg4mpE7HbvBsAcEHyBUiOSg56iCu/SQfk5yN6586QfdgyLgb7nr4PuxUNMABodLVgfPJ4ZMVkYfrQ6RASgdlZs6FVaHv8MJxUIsXXZV9jb91eHKg/gIzoDAyPG37GlRN6Ol/4bHXVfqhfGL5zfYeVB1dCpVCFxU5yRERExHAbEc60Ra/b54bNZcOiqYsCYSzUpgMJ2gSMSRwDAEjQJQQe4oryyXDlO5uhXvJnwOfrdO/maBWW3Tkan4zwIVdUoKa5BhBAki4JeUl5SNIlYWbGzKD5tT0Jth2BfUT8CHx/4ntYXVb4/D7oVXoICDQ7mjEifkSnlRN6MnJ9Lrpq//RfGLRyLaIV0XB4HRgSPSQsV3ggIiL6KWK4jQBn2qJXJpXB6/ei2lodMuyd+sCWUqoMOpa4Yz9ueXkt1NUNIe+75cpROPCrn8MhdyDm+LdodjRDLVMjQZeAUQmjMD5pPHzwhdzxqzunBnadQocEbQIa7A3YUL4BwMmA/ItJv4BRbez1yHVv9aT9UL8wSCVSaOThvcIDERHRTw3DbQQ4PVjZ3Da4vC4AQII2AU2Opk5hLNTGEA2OkyE21aHEuJc/QNTHq0PfcMQI2P78Mg4YKxGjjkE0BNrcbRAQWDh+IVocLbC4Lbh82OVQypRntSTWqYE9KSoJJ2wn0OxsRpu9DSqZCkaVEa3OVhjVxjOOXPfFpg+9bf+Y5RiUUiUa3A3IROZZ35eIiIj6HsNthDlmOYbSplK0OFugkqmQl5jXZRjrtDGE3wd8+CGkj/0SaGzs3LhCAfzud8CTT8IvnMD+ysAob7wuHjHqGGREZ2Bc8rhz3mTi1MCukqlgUBkQr42HSq5CjCoGu2p3oaKlAlWWKgyPHw5JkyTkyHVfbPpwppHxU9s/9ReGIfohsJfbkapP5S5lREREYYThNkKcGqxmZcxC4dFClLeWI1WfinhtfMgwFhQ+y8sh/cUvgPXrQ99g2jTg7beBUaNO3s8rzrglcF9uYFDTVoNYTSwcXge0ci1iNDFI06dhX90+tHvacUnGJbgw7cKgKQF9uelDqCkHodo/dZcyj8eDMfoxuDLnSoZbIiKiMMJwGyFO3/51RPwIfLj/Q2jkmjOHPa8XWLIE+P3vAYejc8MGA/Dii8C99wLSHwPr6fczqo3YW7cXTq+zz7acPTWwlzSVoKGpASesJ2B1WxGvjcee2j2oa69DtbUa45LGweFxoNHeCIPKAIfXAaOq7+e5njpHOVT73KWMiIgovDHcDpA2bxu+rfoWE9Im9Pip/9ODlASSM+/wtWvXydC6Z0/oBm+4AXj9dSA1tdv7VVursbtmN+I0cX22SsGpATonLgc7a3ZizaE1qLZUo66tDi6fC0qpEuUt5TCqjLC4LEiOSsa8EfM6jSSfq1BzlPuyfSIiIuofDLcDpMnTBLPZjAR9Qo/C4unrr4YKYx07fA2VxyH6jVUnR2z9/s6NpaUBb76J1itmnmzTqQ3qQ8e9smOzoVVoAZyfVQqAHwN0x9SAQw2H0GhvRKO9ETHqGPj8PihlSnj8HlyWdRmmpk1FmiHt5Bzic5z3e6rTR6r7un0iIiLqHwy3/ahjySmPx4NaVy0kLkmPw+Lp66+eusOX2+fGhJQJaHW2wvb5J8j8838DNSGW95JIgAcfBP7zPwGDAdX1B0Ku6dpxr13mXdApdOdtlYJQotXRaHO3weK0oM3dBqvLCrVCDZvbhkmpkxCljILD44BGoenz4MkpB0RERJGP4bYfdSw55fK4YHaZMdUw9YxhsSfrr3a0qWhswdSXV2JkYRdTEEaPBv76VzgmjT/ZptMS1Ga8Jh5uvxtKqTJwPMOYAbVcjYrWCqToU5CgTejTVQpO1zEaXW2thpAI1LXVweP3QKfUoaG9Af84+A/oVXruBkZERERdYrjtRx1LTpU2liJaEY0kXRLsXnuXYbEn669OSZ2Mujf/C6NeeBdqW+cHxvwqJaTP/B74zW8ApRJfH1oTss2vSr+C3WOHVqFFblwuTAYTWpwtkECC4oZiNDmaMM00rU9XKThdx2h0XkIe3tnzDixRFuTE5cDhcaDB0QCP34MEXQJ3AyMiIqIuMdz2o455pdWt1ZBKpN0uadXd+qsXOuKQPP9OpG3cGPJ+FePSUfTcLzDrivsRrVQGtXmg/gBcXhdSDanQKrSwOq1w+91QyBRB9zrWcgx6pR4quQrV1urztkpBB6lEimGxw/Dbi36LlQdWIkYdA4VMgQxvBiwuC3cDIyIiojNiuB0gDe4GnLCdgNvv7jIsphnS4BVebKncAqPGCLVPDZlEBp1EiSs/2Q31n14EXK5O77Pq5Pjrvw3HnivHQeI9AEXlt3B4HZBL5ZiVOQuzMmZhV80uVLZWIlYTC4PSAJvHhrvG34Vvq74NWutVr9Lj4oyLkRqV2q+rCHTMd+1uaS4iIiKiUzHc9jOVXIVUfSpytbm4NvdaVNuqzxgWa6w1qLRUwid8yIzORPTeEtz4359DXVYT8vqNFybj9VsycUztgM5SiSZ7E462HoVGroFCqkCMOgZZsVlobG9Eta0aSpkSSrkSJ6wnUNlaCaBzoJybPRcxmhgA/beKAJfmIiIiorPBcNvP1HI1rs65GrIyGdKN6ciOz+4UFk99kKzaWg2ZRIZU6HH7O98j7r2PIRGiU7v2lHh8+tBsrEq3odnRDK3Qos3VhjhtHFodrajz1sHr8+L5fz2P6UOno9HeiNy4XOgUOpQ2lcLcZsaG8g2YPGQyTAYTcuJyYLaZYXFbOq3g0B+rCHBpLiIiIjobDLcDoLslp05/kOyu4/GY9l9/hr7eEqIxKfDII/D87tewVazFJW47vij9AuXN5XD5XTB6jXB6ndCr9FCr1Wh2NGNtyVq4fW6YvCYk65IBAJPSJkGv0qPF0YJ2dzs8fg/mj5w/oIGSS3MRERFRbzHchqGOh77qjhThxjfWIb3w+5DX+cbmYd8fH0LmnJshgQQAYPPYAAlg99qhlCnh8rogk8oQp4lDXlIe6tvqUW2txsj4kTCqjbC5bIjVxmJm+kz4/D7UtdUhzZAWWJGAgZKIiIgiCcNtGEqLSkHMhkrInngRqrbOy3tBowGeew6Hbrscm6o2QWGtRpo+DUa1EUm6JFRbqlFrrUWUKgoSSNDgaIAffgghoJKrkKZPQ058DtQyNXac2IFYeSzcvpNr3J6vZb6IiIiI+gPDbZix7v0e4r57Yfx+X8jzrlkXo/GVP2Kfrh3NTcWBTRj21u5Fg70BUkiRFZMFlVwFh8eBmrYaNDmaYLaaYVAaIJVIkaBNwKSUSUiPTkddex2aHE2ob6+H1+/ligREREQU0Rhuw4XLBbzwAqL+9J+Quj2dTntiDNj3xF04OjcfxU3f4MCRA8iIzsDwuOEoay6D2+fGcctx2L12zM6ajdGJo9HsaMbGio2I1cRimmka4jRxKGspQ05cDi4fdjkA4JLMS6BX6jEsZhhXJCAiIqKIx3A7wFqdrSj9fAXGPfsmlCVlCDXD1XHrjbAuLkBKbAy0Lgv21BXB6rLC5/dBr9JDQKDZ0YxpQ6ehylIFmUQGr98LjVyDqUOm4rYxtwWW8vILP4Af59JyRQIiIiIaTBhuB5LFAt/jD2Ly3z4JebouKQpv3zMB1VNjIT3wBgBgbNJY6BQ6JGgT0GBvwIbyDQBOhtXbxtyGL4982Wmd2lPDancrEHS8bnW2Yn/dfoxJGoNodXSffWQiIiKi84nhdgA43HbEbN0Eyf33Ia6uvtN5n1SCDfPHYc3NY6E2xCJJpUe6MR12tx0HGg4gJzYHBpUBzc5mtNnboJKpYFQZ4fA4+mzjg2prNX6o+QExmhiGWyIiIooYDLf9rboatjuvx8Ubd4Y8XT4sDi8uzIHygsnweh0YkzQGLq8LN466EcUNxdhctRlpUWkwqAyI18ZDJVchRhWDXbW70OZu6/U0g1NHaFUyVWDziKPNRwMPq5kMJgCAUqbstKEDERERUThhuO1P778PsWgR0my2TqfcGiXevzEH6+cOh0O44Wk+Ar1Sj6PNRxGniYPFZUFFSwXsHjsONx7GsNhhcHgdiJJEIUYTgzR9Gqqt1ciOzQbwYxDtbv7sqSO0pU2lQZtHmAwmlDWXocZWA7lUjnhtPOaPnH9evjVEREREfYHhtj9ptZCECLZ7L0jFivumYreyCVPjhiEnLgft7nboVDpUW6pxtPUoPjv8GexuOzKjM+EXfpQ0lpxc+ksixazMWRhqHNrjIHrq9r6njtCOiB+BPeY9qLJWwWQwwaAyQKvQoq6tDlmxWYGNHYiIiIjCFcNtf7rhBjjmzoZmXSEAwGJU4+93T8aOi4ai2dmCEfoRuGvCXRgePxxSiRTNjmZsqtiEdk87GtobYDKaMDJhJNrcbTjSeATp0elQSBW9DqKnb+976git2+dGRUsFMowZcPvckElk3NiBiIiIIgbDbX+SSKBZ9i78o0dh29hUrHvkUigTkjFFE4vylnJMTpuMzJjMwFSCGlsNKi2VuHDIhWhztwWW+JJJZEjWJ+Pq3Kvx5ZEvIZPIehVEO7b3LW8uR3JUMgwqA4QQ2Fu3F+OTxyMjOqPTigtEREREkYDhtr+ZTGjZvQMfbnoDqQmpMKgNaPe0IzcuF3Oz50IIAYvTAuDHKQMVLRVweByoa6+DTqmDz+8LCpy9DaJphjREKaNgtpkDwdjitKCuvQ45sTlIjEqEUWk85xUXiIiIiPrboAm3S5cuxUsvvQSz2YzRo0djyZIlmDFjxkB3KyRl2lDEKGOQPyQfOfE5gQCpUWiwrnRdpykDVZYqHGs9Bp1Sh5SoFAyPGw6L2wKDytDrpb86VkcYGj0Ubp8bh5sOQy1To7ihGHaPHTW2GszNmQupRAqlTMmNHYiIiCiiDIpwu2rVKjz66KNYunQppk2bhmXLlmHu3LkoLi7G0KFDB7p7najlakw2TMbM9JlQKBRBATLUlAGtQgu5VI7suGxMTp2MNENa4PreLv3VsTqCVqFFbXstPF4P5Bo5dEod9Go9qqxVWHlgZdBDaQy2REREFCkGRWp55ZVXcPfdd+Oee+7ByJEjsWTJEphMJrz11lsD3bUudbUzWJohDbMyZkGj0ATNpdUpdZiVMQtphrSg67vbcQw4uTqCxWmBxWkJTHWotlbj52N+jgtSLoBcKsf0odMxJ2sOTAYTHB4HEnQJmJI25Xx8dCIiIqLzJuJHbt1uN3bt2oUnnngi6PicOXOwbdu2kO9xuVxwuVyB11arFQDg8Xjg8XjOX2f/T8c9urqXx+OBz+fD0eaj0Cg0cHhOzqX1eDzwyHrfvy9LvkSDvQE+vw92jx2pUakoaSjB8dbjcPvcONp0FEP0Q+D0OCGEgFKqxPS06TCqjf3y/YhE3dWQwh9rGNlYv8jHGka+/q5hT+8T8eG2sbERPp8PSUlJQceTkpJQW1sb8j2LFy/Gc8891+n4+vXrodVqz0s/QyksLAz8u83bhkpHJdI16XD73djRvAPp6nQkahNhd9lR46/BRvNGKKXKXt/H6raiylGFOlcdjHIjLDIL7D47LF4LjAojnC4n1teth1KihFu4oZPqsL5mPXQyXV9+3EHp1BpSZGINIxvrF/lYw8jXXzW02+09ui7iw20HiUQS9FoI0elYhyeffBKPPfZY4LXVaoXJZMKcOXNgMBjOaz+Bk795FBYWYvbs2VAoFACAA/UHYK4wY1TmKABAQ3kDZmfNRl5iHgB0mkvb6mzFgfoDyEvMQ7Q6utt7WpwWrDy4EtGaaCikCuysKU0AABaVSURBVHj8HrQ6WjFv+Dx8X/M9DCrDySXAWo/B6rJidtZsqOXq8/DpB4dQNaTIwhpGNtYv8rGGka+/a9jxl/buRHy4jY+Ph0wm6zRKW19f32k0t4NKpYJK1XlFAYVC0a8/YF544fGdHGIvbSlFvaMeh5oOAQAanY0oaylDVlwWgJPb6aoUP/a5rqUORfVFSNAnIEGf0O29FD4FZDIZqm3VQcuG6TV6zBs1LxCcs+OzuTpCL/T3/2ao77GGkY31i3ysYeTrrxr29B4RH26VSiUmTpyIwsJCzJ//43azhYWFuO666wawZ91bX74eLa4WeP1efFf9HXzi5DxbANApdfiy7Es0OhoDKxdcmX1lyG1zTQYTgJMBWKPQhLyXSq7qctmwnjyURkRERBQJIj7cAsBjjz2GO+64A5MmTUJ+fj7efvttVFVV4YEHHhjorp3RpNRJKKovQnlzOSamTkRtWy2OtR4DAJgMJiTrkuHwOALb6Z5p29xTl+4KRS1X93rZMCIiIqJIMyjC7S233IKmpib84Q9/gNlsRl5eHr766iukp6cPdNfOKE2fhhhtDMw2M2LUMTCqjahtq4WAwPD44VBKlWhxtgS2052C0Gvg1rXVBQLwmXCEloiIiAa7QRFuAeCXv/wlfvnLXw50N87aMcsxQABNjiYAQI2tBgCCttMNtW2uTCKDRqEJBGAiIiKin7JBE24j1alzYVP0KfD5fRASgfkj58NsNXe5ne4xy7GgB8OIiIiIiOF2wJ0+F/bJi58EcHLKwPC44Z3mxZ7pwTAiIiKinzqG2zBwanjtbl4sHwwjIiIi6hoTUQTig2FEREREoTEVEREREdGgwXBLRERERIMGwy0RERERDRoMtwOg1dmKg7aDaHW2DnRXiIiIiAYVhtsBUG2tRpmjDNXW6oHuChEREdGgwqXA+onD44Db5wYAlLeUo93XjvKWcmTFZQEAlDIlNArNQHaRiIiIKOIx3PaTr8u+RqO9EV6/FzanDfGKeBxtOYr6/fWQS+WI18Zj/sj5A91NIiIioojGaQn9ZEraFCToEuDwOJAUlYRoRTSSopLg8DiQoEvAlLQpA91FIiIioojHkdt+kmZIQ5QyCmabGTKpDF6/FzKpDBqFBrMyZsGoNg50F4mIiIgiHkduB0BlayWaPE2obK0c6K4QERERDSocue1HKrkKqYZU5MTkILE+EZlpmWj3tUMlVw1014iIiIgGBYbbfqSWq/Gz3J/B5/Wh/WA7ZqbPhEwug1TCAXQiIiKivsBU1c9OD7IMtkRERER9h8mKiIiIiAYNhlsiIiIiGjQYbomIiIho0GC4JSIiIqJBg+GWiIiIiAYNhlsiIiIiGjQYbomIiIho0GC4JSIiIqJBg+GWiIiIiAYNhlsiIiIiGjQYbomIiIho0GC4JSIiIqJBg+GWiIiIiAYNhlsiIiIiGjTkA92BcCCEAABYrdZ+uZ/H44HdbofVaoVCoeiXe1LfYg0jH2sY2Vi/yMcaRr7+rmFHTuvIbV1huAVgs9kAACaTaYB7QkRERERnYrPZYDQauzwvEd3F358Av9+Pmpoa6PV6SCSS834/q9UKk8mE48ePw2AwnPf7Ud9jDSMfaxjZWL/IxxpGvv6uoRACNpsNqampkEq7nlnLkVsAUqkUQ4YM6ff7GgwG/kBHONYw8rGGkY31i3ysYeTrzxqeacS2Ax8oIyIiIqJBg+GWiIiIiAYNWUFBQcFAd+KnSCaT4ZJLLoFczpkhkYo1jHysYWRj/SIfaxj5wrGGfKCMiIiIiAYNTksgIiIiokGD4ZaIiIiIBg2GWyIiIiIaNBhuiYiIiGjQYLgdAEuXLkVmZibUajUmTpyILVu2DHSXKIR//etf+NnPfobU1FRIJBJ89tlnQeeFECgoKEBqaio0Gg0uueQSHDx4cIB6S6EsXrwYkydPhl6vR2JiIubNm4eSkpKga1jH8PXWW29h7NixgQXi8/PzsW7dusB51i7yLF68GBKJBI8++mjgGOsY3goKCiCRSIK+kpOTA+fDsX4Mt/1s1apVePTRR/HUU09hz549mDFjBubOnYuqqqqB7hqdpr29HePGjcMbb7wR8vyLL76IV155BW+88QZ27tyJ5ORkzJ49GzabrZ97Sl3ZvHkzHnzwQezYsQOFhYXwer2YM2cO2tvbA9ewjuFryJAheOGFF/DDDz/ghx9+wKWXXorrrrsu8B9O1i6y7Ny5E2+//TbGjh0bdJx1DH+jR4+G2WwOfO3fvz9wLizrJ6hfTZkyRTzwwANBx0aMGCGeeOKJAeoR9QQAsWbNmsBrv98vkpOTxQsvvBA45nQ6hdFoFH/5y18GoovUA/X19QKA2Lx5sxCCdYxEMTEx4p133mHtIozNZhM5OTmisLBQzJw5UzzyyCNCCP4MRoJnn31WjBs3LuS5cK0fR277kdvtxq5duzBnzpyg43PmzMG2bdsGqFd0NioqKlBbWxtUS5VKhZkzZ7KWYcxisQAAYmNjAbCOkcTn82HlypVob29Hfn4+axdhHnzwQVx99dW4/PLLg46zjpGhtLQUqampyMzMxK233ory8nIA4Vu/8NlO4iegsbERPp8PSUlJQceTkpJQW1s7QL2is9FRr1C1rKysHIguUTeEEHjssccwffp05OXlAWAdI8H+/fuRn58Pp9OJqKgorFmzBqNGjQr8h5O1C38rV67Erl278MMPP3Q6x5/B8Dd16lS8//77yM3NRV1dHZ5//nlcdNFFOHjwYNjWj+F2AEgkkqDXQohOxygysJaRY9GiRdi3bx++/fbbTudYx/A1fPhwFBUVobW1FatXr8aCBQuwefPmwHnWLrwdP34cjzzyCNavXw+1Wt3ldaxj+Jo7d27g32PGjEF+fj6GDRuGv/3tb7jwwgsBhF/9OC2hH8XHx0Mmk3Uapa2vr+/0Ww+Ft44nRVnLyPDQQw9h7dq12LhxI4YMGRI4zjqGP6VSiezsbEyaNAmLFy/GuHHj8Nprr7F2EWLXrl2or6/HxIkTIZfLIZfLsXnzZrz++uuQy+WBWrGOkUOn02HMmDEoLS0N259Dhtt+pFQqMXHiRBQWFgYdLywsxEUXXTRAvaKzkZmZieTk5KBaut1ubN68mbUMI0IILFq0CJ9++im++eYbZGZmBp1nHSOPEAIul4u1ixCXXXYZ9u/fj6KiosDXpEmTcPvtt6OoqAhZWVmsY4RxuVw4dOgQUlJSwvbnUFZQUFAwYHf/CTIYDHjmmWeQlpYGtVqNP/3pT9i4cSOWL1+O6Ojoge4enaKtrQ3FxcWora3FsmXLMHXqVGg0GrjdbkRHR8Pn82Hx4sUYPnw4fD4ffv3rX+PEiRN4++23oVKpBrr7hJMPsXz44Yf4xz/+gdTUVLS1taGtrQ0ymQwKhQISiYR1DGO/+93voFQqIYTA8ePH8frrr+Pvf/87XnzxRQwbNoy1iwAqlQqJiYlBXx999BGysrJw55138mcwAjz++ONQqVQQQuDIkSNYtGgRjhw5gmXLloXvfwsHaJWGn7Q333xTpKenC6VSKS644ILAskQUXjZu3CgAdPpasGCBEOLkEijPPvusSE5OFiqVSlx88cVi//79A9tpChKqfgDE8uXLA9ewjuHr3//93wP/X5mQkCAuu+wysX79+sB51i4ynboUmBCsY7i75ZZbREpKilAoFCI1NVVcf/314uDBg4Hz4Vg/iRBCDEysJiIiIiLqW5xzS0RERESDBsMtEREREQ0aDLdERERENGgw3BIRERHRoMFwS0RERESDBsMtEREREQ0aDLdERERENGgw3BLRoJeRkYElS5b0+Ppjx45BIpGgqKjoPPbqR7W1tZg9ezZ0Ot2g2qmwoKAA48eP7/X73n33XcyZM+c89KhnvvjiC0yYMAF+v3/A+kBEZ4/hlojC0sKFCzFv3rxOxzdt2gSJRILW1tYet7Vz507cd999fdk9rFixos+C6Kuvvgqz2YyioiIcOXKkT9oMB48//jg2bNjQq/e4XC78/ve/xzPPPHOeetW9a665BhKJBB999NGA9YGIzh7DLRENegkJCdBqtQPdjS4dPXoUEydORE5ODhITEwe6O30mKioKcXFxvXrP6tWrERUVhRkzZpynXvXMXXfdhT//+c8D2gciOjsMt0QU8bZt24aLL74YGo0GJpMJDz/8MNrb2wPnT5+WcPjwYUyfPh1qtRqjRo3CP//5T0gkEnz22WdB7ZaXl2PWrFnQarUYN24ctm/fDuDk6PFdd90Fi8UCiUQCiUSCgoKCLvv31ltvYdiwYVAqlRg+fDg++OCDoL6tXr0a77//PiQSCRYuXBiyjZ07d2L27NmIj4+H0WjEzJkzsXv37jN+XzZt2oQpU6YEpjtMmzYNlZWVAH6cMrBs2TKYTCZotVrcdNNNnUbEly9fjpEjR0KtVmPEiBFYunRp0Pnq6mrceuutiI2NhU6nw6RJk/Ddd98F3aM37a1cuRLXXnttp8/y3nvvYfTo0VCpVEhJScGiRYsC5yQSCZYtW4ZrrrkGWq0WI0eOxPbt21FWVoZLLrkEOp0O+fn5OHr0aOA9e/fuxaxZs6DX62EwGDBx4kT88MMPgfPXXnstvv/+e5SXl5/xe0xEYUgQEYWhBQsWiOuuu67T8Y0bNwoAoqWlRQghxL59+0RUVJR49dVXxZEjR8TWrVvFhAkTxMKFCwPvSU9PF6+++qoQQgifzyeGDx8uZs+eLYqKisSWLVvElClTBACxZs0aIYQQFRUVAoAYMWKE+OKLL0RJSYm48cYbRXp6uvB4PMLlcoklS5YIg8EgzGazMJvNwmazhfwcn376qVAoFOLNN98UJSUl4uWXXxYymUx88803Qggh6uvrxZVXXiluvvlmYTabRWtra8h2NmzYID744ANRXFwsiouLxd133y2SkpKE1WoNeb3H4xFGo1E8/vjjoqysTBQXF4sVK1aIyspKIYQQzz77rNDpdOLSSy8Ve/bsEZs3bxbZ2dnitttuC7Tx9ttvi5SUFLF69WpRXl4uVq9eLWJjY8WKFSuEEELYbDaRlZUlZsyYIbZs2SJKS0vFqlWrxLZt2wL3GDduXI/bE0KI6OhosXLlyqDPsnTpUqFWq8WSJUtESUmJ+P777wP1FEIIACItLU2sWrVKlJSUiHnz5omMjAxx6aWXiq+//loUFxeLCy+8UFx55ZWB94wePVr8/Oc/F4cOHRJHjhwRn3zyiSgqKgq6b2JiYlDfiCgyMNwSUVhasGCBkMlkQqfTBX2p1eqgcHvHHXeI++67L+i9W7ZsEVKpVDgcDiFEcLhdt26dkMvlwmw2B64vLCwMGW7feeedwDUHDx4UAMShQ4eEEEIsX75cGI3Gbj/HRRddJO69996gYzfddJO46qqrAq+vu+46sWDBgp5+a4QQQni9XqHX68X//M//hDzf1NQkAIhNmzaFPP/ss88KmUwmjh8/Hji2bt06IZVKA98bk8kkPvroo6D3/fGPfxT5+flCCCGWLVsm9Hq9aGpq6vIep4bb7tpraWkRAMS//vWvoGtSU1PFU089FfIeQpwMt08//XTg9fbt2wUA8e677waOffzxx0KtVgde6/X6boPrhAkTREFBwRmvIaLww2kJRBS2Zs2ahaKioqCvd955J+iaXbt2YcWKFYiKigp8XXHFFfD7/aioqOjUZklJCUwmE5KTkwPHpkyZEvL+Y8eODfw7JSUFAFBfX9+rz3Do0CFMmzYt6Ni0adNw6NChXrVTX1+PBx54ALm5uTAajTAajWhra0NVVVXI62NjY7Fw4UJcccUV+NnPfobXXnsNZrM56JqhQ4diyJAhgdf5+fnw+/0oKSlBQ0MDjh8/jrvvvjvoe/v8888H/rxfVFSECRMmIDY2ttv+96Q9h8MBAFCr1UGfu6amBpdddtkZ2z+1VklJSQCAMWPGBB1zOp2wWq0AgMceewz33HMPLr/8crzwwgtBUxY6aDQa2O32bj8bEYUX+UB3gIioKzqdDtnZ2UHHqqurg177/X7cf//9ePjhhzu9f+jQoZ2OCSEgkUh6dH+FQhH4d8d7zmZ5qNPv15s+dFi4cCEaGhqwZMkSpKenQ6VSIT8/H263u8v3LF++HA8//DC+/vprrFq1Ck8//TQKCwtx4YUXnrGfEokk8Dn/+te/YurUqUHXyWQyACfDX0/1pL24uDhIJBK0tLQEzvX0HqFqdab6FRQU4LbbbsOXX36JdevW4dlnn8XKlSsxf/78wHuam5uRkJDQ489IROGBI7dEFNEuuOACHDx4ENnZ2Z2+lEplp+tHjBiBqqoq1NXVBY7t3Lmz1/dVKpXw+XzdXjdy5Eh8++23Qce2bduGkSNH9up+W7ZswcMPP4yrrroq8GBVY2Njt++bMGECnnzySWzbtg15eXlBy1tVVVWhpqYm8Hr79u2QSqXIzc1FUlIS0tLSUF5e3un7mpmZCeDkaGlRURGam5u77UdP2lMqlRg1ahSKi4sD79Pr9cjIyOj1kmI9kZubi1/96ldYv349rr/+eixfvjxwzul04ujRo5gwYUKf35eIzi+GWyKKaP/xH/+B7du348EHH0RRURFKS0uxdu1aPPTQQyGvnz17NoYNG4YFCxZg37592Lp1K5566ikAnUdYzyQjIwNtbW3YsGEDGhsbu/zz9W9+8xusWLECf/nLX1BaWopXXnkFn376KR5//PFefc7s7Gx88MEHOHToEL777jvcfvvtZxzVrKiowJNPPont27ejsrIS69evx5EjR4JCtVqtxoIFC7B3795AeL755psDUzYKCgqwePFivPbaazhy5Aj279+P5cuX45VXXgEA/Nu//RuSk5Mxb948bN26FeXl5Vi9enVgVYnTddceAFxxxRWdfhkoKCjAyy+/jNdffx2lpaXYvXv3OS3T5XA4sGjRImzatAmVlZXYunUrdu7cGfS92bFjR2B0nIgiC8MtEUW0sWPHYvPmzSgtLcWMGTMwYcIEPPPMM4E5sqeTyWT47LPP0NbWhsmTJ+Oee+7B008/DSB4rmd3LrroIjzwwAO45ZZbkJCQgBdffDHkdfPmzcNrr72Gl156CaNHj8ayZcuwfPlyXHLJJb36nO+99x5aWlowYcIE3HHHHXj44YfPuCauVqvF4cOHccMNNyA3Nxf33XcfFi1ahPvvvz9wTXZ2Nq6//npcddVVmDNnDvLy8oKW5rrnnnvwzjvvYMWKFRgzZgxmzpyJFStWBI20rl+/HomJibjqqqswZswYvPDCC4FpBqfrrj0AuPfee/HVV1/BYrEEji1YsABLlizB0qVLMXr0aFxzzTUoLS3t1ffvVDKZDE1NTbjzzjuRm5uLm2++GXPnzsVzzz0XuObjjz/G7bffHtbrIxNRaBIhhBjoThARDaStW7di+vTpKCsrw7Bhwwa6O/2ioKAAn332Wb9tMdwbN998c2A6xUBoaGjAiBEj8MMPPwQFbyKKDHygjIh+ctasWYOoqCjk5OSgrKwMjzzyCKZNm/aTCbbh7qWXXsLatWsH7P4VFRVYunQpgy1RhGK4JaKfHJvNht/+9rc4fvw44uPjcfnll+Pll18e6G7R/0lPT+9yznR/mDJlSpfLwxFR+OO0BCIiIiIaNPhAGRERERENGgy3RERERDRoMNwSERER0aDBcEtEREREgwbDLRERERENGgy3RERERDRoMNwSERER0aDBcEtEREREgwbDLRERERENGv8f0O9udOz9OsgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('default')\n",
    "plt.figure(figsize=(8,6))\n",
    "plt.plot(x,y,'*',label='Actual Data',alpha=0.3,color='green')\n",
    "\n",
    "plt.plot(x,yp,'red',label='Neural-Network fit Model',lw=3) \n",
    "\n",
    "plt.grid()\n",
    "\n",
    "plt.xlabel('Height of a specie(cms)')\n",
    "plt.ylabel('Weight(lbs)')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
